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Finding the Fourth Proportional to 317.68, 474.20 and 314.24

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Solution

The fourth proportional to 317.68, 474.20 and 314.24 is: 469.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.68 : 474.20 = 314.24 : x
  2. Step 2: Convert to fraction form
    317.68/474.20 = 314.24/x
  3. Step 3: Cross multiply
    317.68x = 474.20 × 314.24
  4. Step 4: Simplify right side
    317.68x = 149,012.61
  5. Step 5: Solve for x
    x = 149,012.61/317.68
  6. Step 6: Final answer
    x = 469.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.