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Finding the Fourth Proportional to 59.23, 88.36 and 57.71

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Solution

The fourth proportional to 59.23, 88.36 and 57.71 is: 86.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.23 : 88.36 = 57.71 : x
  2. Step 2: Convert to fraction form
    59.23/88.36 = 57.71/x
  3. Step 3: Cross multiply
    59.23x = 88.36 × 57.71
  4. Step 4: Simplify right side
    59.23x = 5,099.33
  5. Step 5: Solve for x
    x = 5,099.33/59.23
  6. Step 6: Final answer
    x = 86.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.