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Finding the Fourth Proportional to 180.40, 271.71 and 171.76

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Solution

The fourth proportional to 180.40, 271.71 and 171.76 is: 258.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.40 : 271.71 = 171.76 : x
  2. Step 2: Convert to fraction form
    180.40/271.71 = 171.76/x
  3. Step 3: Cross multiply
    180.40x = 271.71 × 171.76
  4. Step 4: Simplify right side
    180.40x = 46,666.69
  5. Step 5: Solve for x
    x = 46,666.69/180.40
  6. Step 6: Final answer
    x = 258.69

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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.