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Finding the Fourth Proportional to 535.76, 739.32 and 311.66

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Solution

The fourth proportional to 535.76, 739.32 and 311.66 is: 430.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.76 : 739.32 = 311.66 : x
  2. Step 2: Convert to fraction form
    535.76/739.32 = 311.66/x
  3. Step 3: Cross multiply
    535.76x = 739.32 × 311.66
  4. Step 4: Simplify right side
    535.76x = 230,416.47
  5. Step 5: Solve for x
    x = 230,416.47/535.76
  6. Step 6: Final answer
    x = 430.07

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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.