Home / 461.16-691.61-153.09

Finding the Fourth Proportional to 461.16, 691.61 and 153.09

Calculator

Solution

The fourth proportional to 461.16, 691.61 and 153.09 is: 229.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.16 : 691.61 = 153.09 : x
  2. Step 2: Convert to fraction form
    461.16/691.61 = 153.09/x
  3. Step 3: Cross multiply
    461.16x = 691.61 × 153.09
  4. Step 4: Simplify right side
    461.16x = 105,877.81
  5. Step 5: Solve for x
    x = 105,877.81/461.16
  6. Step 6: Final answer
    x = 229.59

Related Problems

Find fourth proportional to 230.58, 345.80 and 76.55
Half scale
Find fourth proportional to 922.32, 1,383.21 and 306.18
Double scale
Find fourth proportional to 462.16, 693.10 and 154.09
Similar ratio
Find fourth proportional to 691.74, 1,037.41 and 229.64
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.