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Finding the Fourth Proportional to 153.15, 229.82 and 72.02

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Solution

The fourth proportional to 153.15, 229.82 and 72.02 is: 108.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.15 : 229.82 = 72.02 : x
  2. Step 2: Convert to fraction form
    153.15/229.82 = 72.02/x
  3. Step 3: Cross multiply
    153.15x = 229.82 × 72.02
  4. Step 4: Simplify right side
    153.15x = 16,550.13
  5. Step 5: Solve for x
    x = 16,550.13/153.15
  6. Step 6: Final answer
    x = 108.06

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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.