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Finding the Fourth Proportional to 58.66, 80.91 and 42.25

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Solution

The fourth proportional to 58.66, 80.91 and 42.25 is: 58.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.66 : 80.91 = 42.25 : x
  2. Step 2: Convert to fraction form
    58.66/80.91 = 42.25/x
  3. Step 3: Cross multiply
    58.66x = 80.91 × 42.25
  4. Step 4: Simplify right side
    58.66x = 3,418.45
  5. Step 5: Solve for x
    x = 3,418.45/58.66
  6. Step 6: Final answer
    x = 58.28

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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.