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Finding the Fourth Proportional to 58.79, 81.21 and 42.50

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Solution

The fourth proportional to 58.79, 81.21 and 42.50 is: 58.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.79 : 81.21 = 42.50 : x
  2. Step 2: Convert to fraction form
    58.79/81.21 = 42.50/x
  3. Step 3: Cross multiply
    58.79x = 81.21 × 42.50
  4. Step 4: Simplify right side
    58.79x = 3,451.44
  5. Step 5: Solve for x
    x = 3,451.44/58.79
  6. Step 6: Final answer
    x = 58.71

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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.