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Finding the Fourth Proportional to 535.29, 738.72 and 348.90

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Solution

The fourth proportional to 535.29, 738.72 and 348.90 is: 481.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.29 : 738.72 = 348.90 : x
  2. Step 2: Convert to fraction form
    535.29/738.72 = 348.90/x
  3. Step 3: Cross multiply
    535.29x = 738.72 × 348.90
  4. Step 4: Simplify right side
    535.29x = 257,739.41
  5. Step 5: Solve for x
    x = 257,739.41/535.29
  6. Step 6: Final answer
    x = 481.49

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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.