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Finding the Fourth Proportional to 535.12, 738.46 and 299.07

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Solution

The fourth proportional to 535.12, 738.46 and 299.07 is: 412.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.12 : 738.46 = 299.07 : x
  2. Step 2: Convert to fraction form
    535.12/738.46 = 299.07/x
  3. Step 3: Cross multiply
    535.12x = 738.46 × 299.07
  4. Step 4: Simplify right side
    535.12x = 220,853.08
  5. Step 5: Solve for x
    x = 220,853.08/535.12
  6. Step 6: Final answer
    x = 412.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.