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Finding the Fourth Proportional to 375.54, 517.88 and 282.18

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Solution

The fourth proportional to 375.54, 517.88 and 282.18 is: 389.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.54 : 517.88 = 282.18 : x
  2. Step 2: Convert to fraction form
    375.54/517.88 = 282.18/x
  3. Step 3: Cross multiply
    375.54x = 517.88 × 282.18
  4. Step 4: Simplify right side
    375.54x = 146,133.97
  5. Step 5: Solve for x
    x = 146,133.97/375.54
  6. Step 6: Final answer
    x = 389.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.