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Finding the Fourth Proportional to 41.74, 62.50 and 34.45

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Solution

The fourth proportional to 41.74, 62.50 and 34.45 is: 51.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.74 : 62.50 = 34.45 : x
  2. Step 2: Convert to fraction form
    41.74/62.50 = 34.45/x
  3. Step 3: Cross multiply
    41.74x = 62.50 × 34.45
  4. Step 4: Simplify right side
    41.74x = 2,153.03
  5. Step 5: Solve for x
    x = 2,153.03/41.74
  6. Step 6: Final answer
    x = 51.58

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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.