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Finding the Fourth Proportional to 58.09, 80.08 and 42.55

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Solution

The fourth proportional to 58.09, 80.08 and 42.55 is: 58.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.09 : 80.08 = 42.55 : x
  2. Step 2: Convert to fraction form
    58.09/80.08 = 42.55/x
  3. Step 3: Cross multiply
    58.09x = 80.08 × 42.55
  4. Step 4: Simplify right side
    58.09x = 3,407.20
  5. Step 5: Solve for x
    x = 3,407.20/58.09
  6. Step 6: Final answer
    x = 58.65

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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.