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Finding the Fourth Proportional to 177.05, 266.57 and 123.30

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Solution

The fourth proportional to 177.05, 266.57 and 123.30 is: 185.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.05 : 266.57 = 123.30 : x
  2. Step 2: Convert to fraction form
    177.05/266.57 = 123.30/x
  3. Step 3: Cross multiply
    177.05x = 266.57 × 123.30
  4. Step 4: Simplify right side
    177.05x = 32,867.46
  5. Step 5: Solve for x
    x = 32,867.46/177.05
  6. Step 6: Final answer
    x = 185.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.