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Finding the Fourth Proportional to 257.49, 386.19 and 74.89

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Solution

The fourth proportional to 257.49, 386.19 and 74.89 is: 112.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.49 : 386.19 = 74.89 : x
  2. Step 2: Convert to fraction form
    257.49/386.19 = 74.89/x
  3. Step 3: Cross multiply
    257.49x = 386.19 × 74.89
  4. Step 4: Simplify right side
    257.49x = 28,921.77
  5. Step 5: Solve for x
    x = 28,921.77/257.49
  6. Step 6: Final answer
    x = 112.32

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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.