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Finding the Fourth Proportional to 336.14, 500.57 and 315.38

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Solution

The fourth proportional to 336.14, 500.57 and 315.38 is: 469.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.14 : 500.57 = 315.38 : x
  2. Step 2: Convert to fraction form
    336.14/500.57 = 315.38/x
  3. Step 3: Cross multiply
    336.14x = 500.57 × 315.38
  4. Step 4: Simplify right side
    336.14x = 157,869.77
  5. Step 5: Solve for x
    x = 157,869.77/336.14
  6. Step 6: Final answer
    x = 469.65

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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.