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Finding the Fourth Proportional to 99.15, 135.63 and 98.74

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Solution

The fourth proportional to 99.15, 135.63 and 98.74 is: 135.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.15 : 135.63 = 98.74 : x
  2. Step 2: Convert to fraction form
    99.15/135.63 = 98.74/x
  3. Step 3: Cross multiply
    99.15x = 135.63 × 98.74
  4. Step 4: Simplify right side
    99.15x = 13,392.11
  5. Step 5: Solve for x
    x = 13,392.11/99.15
  6. Step 6: Final answer
    x = 135.07

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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.