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Finding the Fourth Proportional to 177.22, 264.30 and 155.66

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Solution

The fourth proportional to 177.22, 264.30 and 155.66 is: 232.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.22 : 264.30 = 155.66 : x
  2. Step 2: Convert to fraction form
    177.22/264.30 = 155.66/x
  3. Step 3: Cross multiply
    177.22x = 264.30 × 155.66
  4. Step 4: Simplify right side
    177.22x = 41,139.03
  5. Step 5: Solve for x
    x = 41,139.03/177.22
  6. Step 6: Final answer
    x = 232.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.