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Finding the Fourth Proportional to 354.38, 528.48 and 315.05

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Solution

The fourth proportional to 354.38, 528.48 and 315.05 is: 469.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.38 : 528.48 = 315.05 : x
  2. Step 2: Convert to fraction form
    354.38/528.48 = 315.05/x
  3. Step 3: Cross multiply
    354.38x = 528.48 × 315.05
  4. Step 4: Simplify right side
    354.38x = 166,494.98
  5. Step 5: Solve for x
    x = 166,494.98/354.38
  6. Step 6: Final answer
    x = 469.83

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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.