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Finding the Fourth Proportional to 176.71, 244.04 and 121.59

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Solution

The fourth proportional to 176.71, 244.04 and 121.59 is: 167.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.71 : 244.04 = 121.59 : x
  2. Step 2: Convert to fraction form
    176.71/244.04 = 121.59/x
  3. Step 3: Cross multiply
    176.71x = 244.04 × 121.59
  4. Step 4: Simplify right side
    176.71x = 29,672.82
  5. Step 5: Solve for x
    x = 29,672.82/176.71
  6. Step 6: Final answer
    x = 167.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.