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Finding the Fourth Proportional to 338.57, 504.24 and 316.02

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Solution

The fourth proportional to 338.57, 504.24 and 316.02 is: 470.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.57 : 504.24 = 316.02 : x
  2. Step 2: Convert to fraction form
    338.57/504.24 = 316.02/x
  3. Step 3: Cross multiply
    338.57x = 504.24 × 316.02
  4. Step 4: Simplify right side
    338.57x = 159,349.92
  5. Step 5: Solve for x
    x = 159,349.92/338.57
  6. Step 6: Final answer
    x = 470.66

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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.