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Finding the Fourth Proportional to 542, 813.16 and 298.48

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Solution

The fourth proportional to 542, 813.16 and 298.48 is: 447.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    542 : 813.16 = 298.48 : x
  2. Step 2: Convert to fraction form
    542/813.16 = 298.48/x
  3. Step 3: Cross multiply
    542x = 813.16 × 298.48
  4. Step 4: Simplify right side
    542x = 242,712.00
  5. Step 5: Solve for x
    x = 242,712.00/542
  6. Step 6: Final answer
    x = 447.81

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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.