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Finding the Fourth Proportional to 191.62, 287.26 and 123.18

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Solution

The fourth proportional to 191.62, 287.26 and 123.18 is: 184.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.62 : 287.26 = 123.18 : x
  2. Step 2: Convert to fraction form
    191.62/287.26 = 123.18/x
  3. Step 3: Cross multiply
    191.62x = 287.26 × 123.18
  4. Step 4: Simplify right side
    191.62x = 35,384.69
  5. Step 5: Solve for x
    x = 35,384.69/191.62
  6. Step 6: Final answer
    x = 184.66

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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.