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Finding the Fourth Proportional to 257.77, 386.66 and 75.17

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Solution

The fourth proportional to 257.77, 386.66 and 75.17 is: 112.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.77 : 386.66 = 75.17 : x
  2. Step 2: Convert to fraction form
    257.77/386.66 = 75.17/x
  3. Step 3: Cross multiply
    257.77x = 386.66 × 75.17
  4. Step 4: Simplify right side
    257.77x = 29,064.86
  5. Step 5: Solve for x
    x = 29,064.86/257.77
  6. Step 6: Final answer
    x = 112.76

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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.