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Finding the Fourth Proportional to 354.15, 528.80 and 315.18

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Solution

The fourth proportional to 354.15, 528.80 and 315.18 is: 470.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.15 : 528.80 = 315.18 : x
  2. Step 2: Convert to fraction form
    354.15/528.80 = 315.18/x
  3. Step 3: Cross multiply
    354.15x = 528.80 × 315.18
  4. Step 4: Simplify right side
    354.15x = 166,665.61
  5. Step 5: Solve for x
    x = 166,665.61/354.15
  6. Step 6: Final answer
    x = 470.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.