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Finding the Fourth Proportional to 42.13, 58.21 and 36.66

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Solution

The fourth proportional to 42.13, 58.21 and 36.66 is: 50.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.13 : 58.21 = 36.66 : x
  2. Step 2: Convert to fraction form
    42.13/58.21 = 36.66/x
  3. Step 3: Cross multiply
    42.13x = 58.21 × 36.66
  4. Step 4: Simplify right side
    42.13x = 2,133.98
  5. Step 5: Solve for x
    x = 2,133.98/42.13
  6. Step 6: Final answer
    x = 50.65

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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.