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Finding the Fourth Proportional to 279.59, 385.82 and 155.25

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Solution

The fourth proportional to 279.59, 385.82 and 155.25 is: 214.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.59 : 385.82 = 155.25 : x
  2. Step 2: Convert to fraction form
    279.59/385.82 = 155.25/x
  3. Step 3: Cross multiply
    279.59x = 385.82 × 155.25
  4. Step 4: Simplify right side
    279.59x = 59,897.78
  5. Step 5: Solve for x
    x = 59,897.78/279.59
  6. Step 6: Final answer
    x = 214.24

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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.