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Finding the Fourth Proportional to 357.27, 532.91 and 298.83

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Solution

The fourth proportional to 357.27, 532.91 and 298.83 is: 445.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.27 : 532.91 = 298.83 : x
  2. Step 2: Convert to fraction form
    357.27/532.91 = 298.83/x
  3. Step 3: Cross multiply
    357.27x = 532.91 × 298.83
  4. Step 4: Simplify right side
    357.27x = 159,251.24
  5. Step 5: Solve for x
    x = 159,251.24/357.27
  6. Step 6: Final answer
    x = 445.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.