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Finding the Fourth Proportional to 153.66, 230.11 and 88.50

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Solution

The fourth proportional to 153.66, 230.11 and 88.50 is: 132.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.66 : 230.11 = 88.50 : x
  2. Step 2: Convert to fraction form
    153.66/230.11 = 88.50/x
  3. Step 3: Cross multiply
    153.66x = 230.11 × 88.50
  4. Step 4: Simplify right side
    153.66x = 20,363.14
  5. Step 5: Solve for x
    x = 20,363.14/153.66
  6. Step 6: Final answer
    x = 132.53

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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.