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Finding the Fourth Proportional to 153.92, 212.45 and 88.46

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Solution

The fourth proportional to 153.92, 212.45 and 88.46 is: 122.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.92 : 212.45 = 88.46 : x
  2. Step 2: Convert to fraction form
    153.92/212.45 = 88.46/x
  3. Step 3: Cross multiply
    153.92x = 212.45 × 88.46
  4. Step 4: Simplify right side
    153.92x = 18,791.82
  5. Step 5: Solve for x
    x = 18,791.82/153.92
  6. Step 6: Final answer
    x = 122.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.