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Finding the Fourth Proportional to 542.01, 813.00 and 310.19

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Solution

The fourth proportional to 542.01, 813.00 and 310.19 is: 465.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.01 : 813.00 = 310.19 : x
  2. Step 2: Convert to fraction form
    542.01/813.00 = 310.19/x
  3. Step 3: Cross multiply
    542.01x = 813.00 × 310.19
  4. Step 4: Simplify right side
    542.01x = 252,181.57
  5. Step 5: Solve for x
    x = 252,181.57/542.01
  6. Step 6: Final answer
    x = 465.27

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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.