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Finding the Fourth Proportional to 353.72, 529.92 and 315.60

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Solution

The fourth proportional to 353.72, 529.92 and 315.60 is: 472.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.72 : 529.92 = 315.60 : x
  2. Step 2: Convert to fraction form
    353.72/529.92 = 315.60/x
  3. Step 3: Cross multiply
    353.72x = 529.92 × 315.60
  4. Step 4: Simplify right side
    353.72x = 167,242.75
  5. Step 5: Solve for x
    x = 167,242.75/353.72
  6. Step 6: Final answer
    x = 472.81

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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.