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Finding the Fourth Proportional to 90.24, 122.84 and 89.72

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Solution

The fourth proportional to 90.24, 122.84 and 89.72 is: 122.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.24 : 122.84 = 89.72 : x
  2. Step 2: Convert to fraction form
    90.24/122.84 = 89.72/x
  3. Step 3: Cross multiply
    90.24x = 122.84 × 89.72
  4. Step 4: Simplify right side
    90.24x = 11,021.20
  5. Step 5: Solve for x
    x = 11,021.20/90.24
  6. Step 6: Final answer
    x = 122.13

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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.