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Finding the Fourth Proportional to 258.50, 387.74 and 100.19

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Solution

The fourth proportional to 258.50, 387.74 and 100.19 is: 150.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.50 : 387.74 = 100.19 : x
  2. Step 2: Convert to fraction form
    258.50/387.74 = 100.19/x
  3. Step 3: Cross multiply
    258.50x = 387.74 × 100.19
  4. Step 4: Simplify right side
    258.50x = 38,845.73
  5. Step 5: Solve for x
    x = 38,845.73/258.50
  6. Step 6: Final answer
    x = 150.28

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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.