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Finding the Fourth Proportional to 348.71, 524.88 and 315.19

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Solution

The fourth proportional to 348.71, 524.88 and 315.19 is: 474.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.71 : 524.88 = 315.19 : x
  2. Step 2: Convert to fraction form
    348.71/524.88 = 315.19/x
  3. Step 3: Cross multiply
    348.71x = 524.88 × 315.19
  4. Step 4: Simplify right side
    348.71x = 165,437.58
  5. Step 5: Solve for x
    x = 165,437.58/348.71
  6. Step 6: Final answer
    x = 474.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.