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Finding the Fourth Proportional to 279.59, 385.70 and 161.53

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Solution

The fourth proportional to 279.59, 385.70 and 161.53 is: 222.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.59 : 385.70 = 161.53 : x
  2. Step 2: Convert to fraction form
    279.59/385.70 = 161.53/x
  3. Step 3: Cross multiply
    279.59x = 385.70 × 161.53
  4. Step 4: Simplify right side
    279.59x = 62,300.35
  5. Step 5: Solve for x
    x = 62,300.35/279.59
  6. Step 6: Final answer
    x = 222.83

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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.