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Finding the Fourth Proportional to 41.82, 63.08 and 40.70

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Solution

The fourth proportional to 41.82, 63.08 and 40.70 is: 61.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.82 : 63.08 = 40.70 : x
  2. Step 2: Convert to fraction form
    41.82/63.08 = 40.70/x
  3. Step 3: Cross multiply
    41.82x = 63.08 × 40.70
  4. Step 4: Simplify right side
    41.82x = 2,567.46
  5. Step 5: Solve for x
    x = 2,567.46/41.82
  6. Step 6: Final answer
    x = 61.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.