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Finding the Fourth Proportional to 153.65, 230.06 and 129.21

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Solution

The fourth proportional to 153.65, 230.06 and 129.21 is: 193.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.65 : 230.06 = 129.21 : x
  2. Step 2: Convert to fraction form
    153.65/230.06 = 129.21/x
  3. Step 3: Cross multiply
    153.65x = 230.06 × 129.21
  4. Step 4: Simplify right side
    153.65x = 29,725.41
  5. Step 5: Solve for x
    x = 29,725.41/153.65
  6. Step 6: Final answer
    x = 193.47

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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.