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Finding the Fourth Proportional to 381.48, 572.25 and 138

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Solution

The fourth proportional to 381.48, 572.25 and 138 is: 207.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.48 : 572.25 = 138 : x
  2. Step 2: Convert to fraction form
    381.48/572.25 = 138/x
  3. Step 3: Cross multiply
    381.48x = 572.25 × 138
  4. Step 4: Simplify right side
    381.48x = 78,970.50
  5. Step 5: Solve for x
    x = 78,970.50/381.48
  6. Step 6: Final answer
    x = 207.01

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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.