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Finding the Fourth Proportional to 52.42, 78.49 and 41.03

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Solution

The fourth proportional to 52.42, 78.49 and 41.03 is: 61.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.42 : 78.49 = 41.03 : x
  2. Step 2: Convert to fraction form
    52.42/78.49 = 41.03/x
  3. Step 3: Cross multiply
    52.42x = 78.49 × 41.03
  4. Step 4: Simplify right side
    52.42x = 3,220.15
  5. Step 5: Solve for x
    x = 3,220.15/52.42
  6. Step 6: Final answer
    x = 61.43

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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.