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Finding the Fourth Proportional to 542.08, 812.78 and 253.24

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Solution

The fourth proportional to 542.08, 812.78 and 253.24 is: 379.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.08 : 812.78 = 253.24 : x
  2. Step 2: Convert to fraction form
    542.08/812.78 = 253.24/x
  3. Step 3: Cross multiply
    542.08x = 812.78 × 253.24
  4. Step 4: Simplify right side
    542.08x = 205,828.41
  5. Step 5: Solve for x
    x = 205,828.41/542.08
  6. Step 6: Final answer
    x = 379.70

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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.