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Finding the Fourth Proportional to 42.06, 63 and 40.98

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Solution

The fourth proportional to 42.06, 63 and 40.98 is: 61.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.06 : 63 = 40.98 : x
  2. Step 2: Convert to fraction form
    42.06/63 = 40.98/x
  3. Step 3: Cross multiply
    42.06x = 63 × 40.98
  4. Step 4: Simplify right side
    42.06x = 2,581.74
  5. Step 5: Solve for x
    x = 2,581.74/42.06
  6. Step 6: Final answer
    x = 61.38

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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.