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Finding the Fourth Proportional to 177.59, 266.09 and 154.50

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Solution

The fourth proportional to 177.59, 266.09 and 154.50 is: 231.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.59 : 266.09 = 154.50 : x
  2. Step 2: Convert to fraction form
    177.59/266.09 = 154.50/x
  3. Step 3: Cross multiply
    177.59x = 266.09 × 154.50
  4. Step 4: Simplify right side
    177.59x = 41,110.13
  5. Step 5: Solve for x
    x = 41,110.13/177.59
  6. Step 6: Final answer
    x = 231.50

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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.