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Finding the Fourth Proportional to 99.77, 148.87 and 95.82

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Solution

The fourth proportional to 99.77, 148.87 and 95.82 is: 142.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.77 : 148.87 = 95.82 : x
  2. Step 2: Convert to fraction form
    99.77/148.87 = 95.82/x
  3. Step 3: Cross multiply
    99.77x = 148.87 × 95.82
  4. Step 4: Simplify right side
    99.77x = 14,264.28
  5. Step 5: Solve for x
    x = 14,264.28/99.77
  6. Step 6: Final answer
    x = 142.98

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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.