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Finding the Fourth Proportional to 535.58, 739.24 and 339.20

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Solution

The fourth proportional to 535.58, 739.24 and 339.20 is: 468.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.58 : 739.24 = 339.20 : x
  2. Step 2: Convert to fraction form
    535.58/739.24 = 339.20/x
  3. Step 3: Cross multiply
    535.58x = 739.24 × 339.20
  4. Step 4: Simplify right side
    535.58x = 250,750.21
  5. Step 5: Solve for x
    x = 250,750.21/535.58
  6. Step 6: Final answer
    x = 468.18

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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.