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Finding the Fourth Proportional to 102.92, 153.62 and 90.20

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Solution

The fourth proportional to 102.92, 153.62 and 90.20 is: 134.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.92 : 153.62 = 90.20 : x
  2. Step 2: Convert to fraction form
    102.92/153.62 = 90.20/x
  3. Step 3: Cross multiply
    102.92x = 153.62 × 90.20
  4. Step 4: Simplify right side
    102.92x = 13,856.52
  5. Step 5: Solve for x
    x = 13,856.52/102.92
  6. Step 6: Final answer
    x = 134.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.