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Finding the Fourth Proportional to 352.47, 528.05 and 314.34

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Solution

The fourth proportional to 352.47, 528.05 and 314.34 is: 470.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.47 : 528.05 = 314.34 : x
  2. Step 2: Convert to fraction form
    352.47/528.05 = 314.34/x
  3. Step 3: Cross multiply
    352.47x = 528.05 × 314.34
  4. Step 4: Simplify right side
    352.47x = 165,985.67
  5. Step 5: Solve for x
    x = 165,985.67/352.47
  6. Step 6: Final answer
    x = 470.92

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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.