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Finding the Fourth Proportional to 100.43, 150.36 and 77.65

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Solution

The fourth proportional to 100.43, 150.36 and 77.65 is: 116.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.43 : 150.36 = 77.65 : x
  2. Step 2: Convert to fraction form
    100.43/150.36 = 77.65/x
  3. Step 3: Cross multiply
    100.43x = 150.36 × 77.65
  4. Step 4: Simplify right side
    100.43x = 11,675.45
  5. Step 5: Solve for x
    x = 11,675.45/100.43
  6. Step 6: Final answer
    x = 116.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.