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Finding the Fourth Proportional to 177.67, 264.95 and 161.57

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Solution

The fourth proportional to 177.67, 264.95 and 161.57 is: 240.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.67 : 264.95 = 161.57 : x
  2. Step 2: Convert to fraction form
    177.67/264.95 = 161.57/x
  3. Step 3: Cross multiply
    177.67x = 264.95 × 161.57
  4. Step 4: Simplify right side
    177.67x = 42,807.83
  5. Step 5: Solve for x
    x = 42,807.83/177.67
  6. Step 6: Final answer
    x = 240.94

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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.