Home / 213.14-319.64-76.16

Finding the Fourth Proportional to 213.14, 319.64 and 76.16

Calculator

Solution

The fourth proportional to 213.14, 319.64 and 76.16 is: 114.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.14 : 319.64 = 76.16 : x
  2. Step 2: Convert to fraction form
    213.14/319.64 = 76.16/x
  3. Step 3: Cross multiply
    213.14x = 319.64 × 76.16
  4. Step 4: Simplify right side
    213.14x = 24,344.77
  5. Step 5: Solve for x
    x = 24,344.77/213.14
  6. Step 6: Final answer
    x = 114.22

Related Problems

Find fourth proportional to 106.57, 159.82 and 38.08
Half scale
Find fourth proportional to 426.29, 639.29 and 152.33
Double scale
Find fourth proportional to 214.14, 321.14 and 77.16
Similar ratio
Find fourth proportional to 319.71, 479.46 and 114.24
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.