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Finding the Fourth Proportional to 542.30, 812.84 and 253.13

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Solution

The fourth proportional to 542.30, 812.84 and 253.13 is: 379.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.30 : 812.84 = 253.13 : x
  2. Step 2: Convert to fraction form
    542.30/812.84 = 253.13/x
  3. Step 3: Cross multiply
    542.30x = 812.84 × 253.13
  4. Step 4: Simplify right side
    542.30x = 205,748.86
  5. Step 5: Solve for x
    x = 205,748.86/542.30
  6. Step 6: Final answer
    x = 379.40

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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.