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Finding the Fourth Proportional to 535.95, 739.40 and 339.66

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Solution

The fourth proportional to 535.95, 739.40 and 339.66 is: 468.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.95 : 739.40 = 339.66 : x
  2. Step 2: Convert to fraction form
    535.95/739.40 = 339.66/x
  3. Step 3: Cross multiply
    535.95x = 739.40 × 339.66
  4. Step 4: Simplify right side
    535.95x = 251,142.91
  5. Step 5: Solve for x
    x = 251,142.91/535.95
  6. Step 6: Final answer
    x = 468.59

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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.