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Finding the Fourth Proportional to 360.74, 541.66 and 178.76

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Solution

The fourth proportional to 360.74, 541.66 and 178.76 is: 268.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.74 : 541.66 = 178.76 : x
  2. Step 2: Convert to fraction form
    360.74/541.66 = 178.76/x
  3. Step 3: Cross multiply
    360.74x = 541.66 × 178.76
  4. Step 4: Simplify right side
    360.74x = 96,827.14
  5. Step 5: Solve for x
    x = 96,827.14/360.74
  6. Step 6: Final answer
    x = 268.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.