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Finding the Fourth Proportional to 191.01, 286.35 and 99.66

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Solution

The fourth proportional to 191.01, 286.35 and 99.66 is: 149.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.01 : 286.35 = 99.66 : x
  2. Step 2: Convert to fraction form
    191.01/286.35 = 99.66/x
  3. Step 3: Cross multiply
    191.01x = 286.35 × 99.66
  4. Step 4: Simplify right side
    191.01x = 28,537.64
  5. Step 5: Solve for x
    x = 28,537.64/191.01
  6. Step 6: Final answer
    x = 149.40

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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.