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Finding the Fourth Proportional to 535.61, 739.16 and 296.34

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Solution

The fourth proportional to 535.61, 739.16 and 296.34 is: 408.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.61 : 739.16 = 296.34 : x
  2. Step 2: Convert to fraction form
    535.61/739.16 = 296.34/x
  3. Step 3: Cross multiply
    535.61x = 739.16 × 296.34
  4. Step 4: Simplify right side
    535.61x = 219,041.93
  5. Step 5: Solve for x
    x = 219,041.93/535.61
  6. Step 6: Final answer
    x = 408.96

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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.