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Finding the Fourth Proportional to 473.68, 710.29 and 165.53

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Solution

The fourth proportional to 473.68, 710.29 and 165.53 is: 248.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.68 : 710.29 = 165.53 : x
  2. Step 2: Convert to fraction form
    473.68/710.29 = 165.53/x
  3. Step 3: Cross multiply
    473.68x = 710.29 × 165.53
  4. Step 4: Simplify right side
    473.68x = 117,572.76
  5. Step 5: Solve for x
    x = 117,572.76/473.68
  6. Step 6: Final answer
    x = 248.21

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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.