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Finding the Fourth Proportional to 100.77, 150.36 and 96.82

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Solution

The fourth proportional to 100.77, 150.36 and 96.82 is: 144.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.77 : 150.36 = 96.82 : x
  2. Step 2: Convert to fraction form
    100.77/150.36 = 96.82/x
  3. Step 3: Cross multiply
    100.77x = 150.36 × 96.82
  4. Step 4: Simplify right side
    100.77x = 14,557.86
  5. Step 5: Solve for x
    x = 14,557.86/100.77
  6. Step 6: Final answer
    x = 144.47

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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.