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Finding the Fourth Proportional to 362.64, 542 and 311.60

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Solution

The fourth proportional to 362.64, 542 and 311.60 is: 465.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.64 : 542 = 311.60 : x
  2. Step 2: Convert to fraction form
    362.64/542 = 311.60/x
  3. Step 3: Cross multiply
    362.64x = 542 × 311.60
  4. Step 4: Simplify right side
    362.64x = 168,887.20
  5. Step 5: Solve for x
    x = 168,887.20/362.64
  6. Step 6: Final answer
    x = 465.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.