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Finding the Fourth Proportional to 365.72, 547.97 and 354.78

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Solution

The fourth proportional to 365.72, 547.97 and 354.78 is: 531.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.72 : 547.97 = 354.78 : x
  2. Step 2: Convert to fraction form
    365.72/547.97 = 354.78/x
  3. Step 3: Cross multiply
    365.72x = 547.97 × 354.78
  4. Step 4: Simplify right side
    365.72x = 194,407.02
  5. Step 5: Solve for x
    x = 194,407.02/365.72
  6. Step 6: Final answer
    x = 531.58

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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.