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Finding the Fourth Proportional to 58.99, 81.27 and 42.59

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Solution

The fourth proportional to 58.99, 81.27 and 42.59 is: 58.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.99 : 81.27 = 42.59 : x
  2. Step 2: Convert to fraction form
    58.99/81.27 = 42.59/x
  3. Step 3: Cross multiply
    58.99x = 81.27 × 42.59
  4. Step 4: Simplify right side
    58.99x = 3,461.29
  5. Step 5: Solve for x
    x = 3,461.29/58.99
  6. Step 6: Final answer
    x = 58.68

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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.