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Finding the Fourth Proportional to 360.20, 542.61 and 311.60

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Solution

The fourth proportional to 360.20, 542.61 and 311.60 is: 469.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.20 : 542.61 = 311.60 : x
  2. Step 2: Convert to fraction form
    360.20/542.61 = 311.60/x
  3. Step 3: Cross multiply
    360.20x = 542.61 × 311.60
  4. Step 4: Simplify right side
    360.20x = 169,077.28
  5. Step 5: Solve for x
    x = 169,077.28/360.20
  6. Step 6: Final answer
    x = 469.40

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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.