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Finding the Fourth Proportional to 542.34, 811.77 and 298.26

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Solution

The fourth proportional to 542.34, 811.77 and 298.26 is: 446.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.34 : 811.77 = 298.26 : x
  2. Step 2: Convert to fraction form
    542.34/811.77 = 298.26/x
  3. Step 3: Cross multiply
    542.34x = 811.77 × 298.26
  4. Step 4: Simplify right side
    542.34x = 242,118.52
  5. Step 5: Solve for x
    x = 242,118.52/542.34
  6. Step 6: Final answer
    x = 446.43

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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.