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Finding the Fourth Proportional to 102.92, 153.78 and 90.08

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Solution

The fourth proportional to 102.92, 153.78 and 90.08 is: 134.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.92 : 153.78 = 90.08 : x
  2. Step 2: Convert to fraction form
    102.92/153.78 = 90.08/x
  3. Step 3: Cross multiply
    102.92x = 153.78 × 90.08
  4. Step 4: Simplify right side
    102.92x = 13,852.50
  5. Step 5: Solve for x
    x = 13,852.50/102.92
  6. Step 6: Final answer
    x = 134.59

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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.