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Finding the Fourth Proportional to 90.19, 124.46 and 55.23

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Solution

The fourth proportional to 90.19, 124.46 and 55.23 is: 76.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.19 : 124.46 = 55.23 : x
  2. Step 2: Convert to fraction form
    90.19/124.46 = 55.23/x
  3. Step 3: Cross multiply
    90.19x = 124.46 × 55.23
  4. Step 4: Simplify right side
    90.19x = 6,873.65
  5. Step 5: Solve for x
    x = 6,873.65/90.19
  6. Step 6: Final answer
    x = 76.21

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Why These Related Problems?

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