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Finding the Fourth Proportional to 42.25, 58.28 and 40.83

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Solution

The fourth proportional to 42.25, 58.28 and 40.83 is: 56.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.25 : 58.28 = 40.83 : x
  2. Step 2: Convert to fraction form
    42.25/58.28 = 40.83/x
  3. Step 3: Cross multiply
    42.25x = 58.28 × 40.83
  4. Step 4: Simplify right side
    42.25x = 2,379.57
  5. Step 5: Solve for x
    x = 2,379.57/42.25
  6. Step 6: Final answer
    x = 56.32

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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.