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Finding the Fourth Proportional to 308.06, 461.76 and 153.74

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Solution

The fourth proportional to 308.06, 461.76 and 153.74 is: 230.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.06 : 461.76 = 153.74 : x
  2. Step 2: Convert to fraction form
    308.06/461.76 = 153.74/x
  3. Step 3: Cross multiply
    308.06x = 461.76 × 153.74
  4. Step 4: Simplify right side
    308.06x = 70,990.98
  5. Step 5: Solve for x
    x = 70,990.98/308.06
  6. Step 6: Final answer
    x = 230.45

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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.