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Finding the Fourth Proportional to 535.60, 738.86 and 348.86

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Solution

The fourth proportional to 535.60, 738.86 and 348.86 is: 481.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.60 : 738.86 = 348.86 : x
  2. Step 2: Convert to fraction form
    535.60/738.86 = 348.86/x
  3. Step 3: Cross multiply
    535.60x = 738.86 × 348.86
  4. Step 4: Simplify right side
    535.60x = 257,758.70
  5. Step 5: Solve for x
    x = 257,758.70/535.60
  6. Step 6: Final answer
    x = 481.25

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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.