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Finding the Fourth Proportional to 308.17, 461.59 and 242.85

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Solution

The fourth proportional to 308.17, 461.59 and 242.85 is: 363.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.17 : 461.59 = 242.85 : x
  2. Step 2: Convert to fraction form
    308.17/461.59 = 242.85/x
  3. Step 3: Cross multiply
    308.17x = 461.59 × 242.85
  4. Step 4: Simplify right side
    308.17x = 112,096.52
  5. Step 5: Solve for x
    x = 112,096.52/308.17
  6. Step 6: Final answer
    x = 363.75

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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.