Home / 282.42-423.66-99.78

Finding the Fourth Proportional to 282.42, 423.66 and 99.78

Calculator

Solution

The fourth proportional to 282.42, 423.66 and 99.78 is: 149.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.42 : 423.66 = 99.78 : x
  2. Step 2: Convert to fraction form
    282.42/423.66 = 99.78/x
  3. Step 3: Cross multiply
    282.42x = 423.66 × 99.78
  4. Step 4: Simplify right side
    282.42x = 42,272.79
  5. Step 5: Solve for x
    x = 42,272.79/282.42
  6. Step 6: Final answer
    x = 149.68

Related Problems

Find fourth proportional to 141.21, 211.83 and 49.89
Half scale
Find fourth proportional to 564.84, 847.32 and 199.56
Double scale
Find fourth proportional to 283.42, 425.16 and 100.78
Similar ratio
Find fourth proportional to 423.63, 635.49 and 149.67
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.