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Finding the Fourth Proportional to 153.72, 230.34 and 81.63

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Solution

The fourth proportional to 153.72, 230.34 and 81.63 is: 122.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.72 : 230.34 = 81.63 : x
  2. Step 2: Convert to fraction form
    153.72/230.34 = 81.63/x
  3. Step 3: Cross multiply
    153.72x = 230.34 × 81.63
  4. Step 4: Simplify right side
    153.72x = 18,802.65
  5. Step 5: Solve for x
    x = 18,802.65/153.72
  6. Step 6: Final answer
    x = 122.32

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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.