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Finding the Fourth Proportional to 240.78, 332.27 and 147.53

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Solution

The fourth proportional to 240.78, 332.27 and 147.53 is: 203.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.78 : 332.27 = 147.53 : x
  2. Step 2: Convert to fraction form
    240.78/332.27 = 147.53/x
  3. Step 3: Cross multiply
    240.78x = 332.27 × 147.53
  4. Step 4: Simplify right side
    240.78x = 49,017.95
  5. Step 5: Solve for x
    x = 49,017.95/240.78
  6. Step 6: Final answer
    x = 203.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.