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Finding the Fourth Proportional to 542.46, 812.38 and 310.64

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Solution

The fourth proportional to 542.46, 812.38 and 310.64 is: 465.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.46 : 812.38 = 310.64 : x
  2. Step 2: Convert to fraction form
    542.46/812.38 = 310.64/x
  3. Step 3: Cross multiply
    542.46x = 812.38 × 310.64
  4. Step 4: Simplify right side
    542.46x = 252,357.72
  5. Step 5: Solve for x
    x = 252,357.72/542.46
  6. Step 6: Final answer
    x = 465.21

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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.