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Finding the Fourth Proportional to 360.86, 541.60 and 178.40

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Solution

The fourth proportional to 360.86, 541.60 and 178.40 is: 267.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.86 : 541.60 = 178.40 : x
  2. Step 2: Convert to fraction form
    360.86/541.60 = 178.40/x
  3. Step 3: Cross multiply
    360.86x = 541.60 × 178.40
  4. Step 4: Simplify right side
    360.86x = 96,622.35
  5. Step 5: Solve for x
    x = 96,622.35/360.86
  6. Step 6: Final answer
    x = 267.76

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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.