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Finding the Fourth Proportional to 134.91, 202.37 and 57.87

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Solution

The fourth proportional to 134.91, 202.37 and 57.87 is: 86.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.91 : 202.37 = 57.87 : x
  2. Step 2: Convert to fraction form
    134.91/202.37 = 57.87/x
  3. Step 3: Cross multiply
    134.91x = 202.37 × 57.87
  4. Step 4: Simplify right side
    134.91x = 11,711.08
  5. Step 5: Solve for x
    x = 11,711.08/134.91
  6. Step 6: Final answer
    x = 86.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.