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Finding the Fourth Proportional to 42.50, 58.77 and 40.59

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Solution

The fourth proportional to 42.50, 58.77 and 40.59 is: 56.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.50 : 58.77 = 40.59 : x
  2. Step 2: Convert to fraction form
    42.50/58.77 = 40.59/x
  3. Step 3: Cross multiply
    42.50x = 58.77 × 40.59
  4. Step 4: Simplify right side
    42.50x = 2,385.47
  5. Step 5: Solve for x
    x = 2,385.47/42.50
  6. Step 6: Final answer
    x = 56.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.