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Finding the Fourth Proportional to 356.50, 537.18 and 317.21

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Solution

The fourth proportional to 356.50, 537.18 and 317.21 is: 477.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.50 : 537.18 = 317.21 : x
  2. Step 2: Convert to fraction form
    356.50/537.18 = 317.21/x
  3. Step 3: Cross multiply
    356.50x = 537.18 × 317.21
  4. Step 4: Simplify right side
    356.50x = 170,397.28
  5. Step 5: Solve for x
    x = 170,397.28/356.50
  6. Step 6: Final answer
    x = 477.98

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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.