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Finding the Fourth Proportional to 99.77, 136.76 and 98.35

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Solution

The fourth proportional to 99.77, 136.76 and 98.35 is: 134.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.77 : 136.76 = 98.35 : x
  2. Step 2: Convert to fraction form
    99.77/136.76 = 98.35/x
  3. Step 3: Cross multiply
    99.77x = 136.76 × 98.35
  4. Step 4: Simplify right side
    99.77x = 13,449.51
  5. Step 5: Solve for x
    x = 13,449.51/99.77
  6. Step 6: Final answer
    x = 134.81

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.