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Finding the Fourth Proportional to 90.88, 123.84 and 90.56

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Solution

The fourth proportional to 90.88, 123.84 and 90.56 is: 123.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.88 : 123.84 = 90.56 : x
  2. Step 2: Convert to fraction form
    90.88/123.84 = 90.56/x
  3. Step 3: Cross multiply
    90.88x = 123.84 × 90.56
  4. Step 4: Simplify right side
    90.88x = 11,214.95
  5. Step 5: Solve for x
    x = 11,214.95/90.88
  6. Step 6: Final answer
    x = 123.40

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.