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Finding the Fourth Proportional to 337.80, 504.16 and 315.94

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Solution

The fourth proportional to 337.80, 504.16 and 315.94 is: 471.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.80 : 504.16 = 315.94 : x
  2. Step 2: Convert to fraction form
    337.80/504.16 = 315.94/x
  3. Step 3: Cross multiply
    337.80x = 504.16 × 315.94
  4. Step 4: Simplify right side
    337.80x = 159,284.31
  5. Step 5: Solve for x
    x = 159,284.31/337.80
  6. Step 6: Final answer
    x = 471.53

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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.