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Finding the Fourth Proportional to 42.83, 59.15 and 40.57

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Solution

The fourth proportional to 42.83, 59.15 and 40.57 is: 56.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.83 : 59.15 = 40.57 : x
  2. Step 2: Convert to fraction form
    42.83/59.15 = 40.57/x
  3. Step 3: Cross multiply
    42.83x = 59.15 × 40.57
  4. Step 4: Simplify right side
    42.83x = 2,399.72
  5. Step 5: Solve for x
    x = 2,399.72/42.83
  6. Step 6: Final answer
    x = 56.03

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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.