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Finding the Fourth Proportional to 153.01, 229.07 and 101.01

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Solution

The fourth proportional to 153.01, 229.07 and 101.01 is: 151.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.01 : 229.07 = 101.01 : x
  2. Step 2: Convert to fraction form
    153.01/229.07 = 101.01/x
  3. Step 3: Cross multiply
    153.01x = 229.07 × 101.01
  4. Step 4: Simplify right side
    153.01x = 23,138.36
  5. Step 5: Solve for x
    x = 23,138.36/153.01
  6. Step 6: Final answer
    x = 151.22

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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.