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Finding the Fourth Proportional to 308.04, 461.48 and 153.80

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Solution

The fourth proportional to 308.04, 461.48 and 153.80 is: 230.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.04 : 461.48 = 153.80 : x
  2. Step 2: Convert to fraction form
    308.04/461.48 = 153.80/x
  3. Step 3: Cross multiply
    308.04x = 461.48 × 153.80
  4. Step 4: Simplify right side
    308.04x = 70,972.55
  5. Step 5: Solve for x
    x = 70,972.55/308.04
  6. Step 6: Final answer
    x = 230.40

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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.