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Finding the Fourth Proportional to 473.57, 710.31 and 165.43

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Solution

The fourth proportional to 473.57, 710.31 and 165.43 is: 248.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.57 : 710.31 = 165.43 : x
  2. Step 2: Convert to fraction form
    473.57/710.31 = 165.43/x
  3. Step 3: Cross multiply
    473.57x = 710.31 × 165.43
  4. Step 4: Simplify right side
    473.57x = 117,503.03
  5. Step 5: Solve for x
    x = 117,503.03/473.57
  6. Step 6: Final answer
    x = 248.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.