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Finding the Fourth Proportional to 153.71, 230.33 and 115.01

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Solution

The fourth proportional to 153.71, 230.33 and 115.01 is: 172.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.71 : 230.33 = 115.01 : x
  2. Step 2: Convert to fraction form
    153.71/230.33 = 115.01/x
  3. Step 3: Cross multiply
    153.71x = 230.33 × 115.01
  4. Step 4: Simplify right side
    153.71x = 26,490.25
  5. Step 5: Solve for x
    x = 26,490.25/153.71
  6. Step 6: Final answer
    x = 172.34

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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.