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Finding the Fourth Proportional to 535.58, 739.02 and 339.16

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Solution

The fourth proportional to 535.58, 739.02 and 339.16 is: 467.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.58 : 739.02 = 339.16 : x
  2. Step 2: Convert to fraction form
    535.58/739.02 = 339.16/x
  3. Step 3: Cross multiply
    535.58x = 739.02 × 339.16
  4. Step 4: Simplify right side
    535.58x = 250,646.02
  5. Step 5: Solve for x
    x = 250,646.02/535.58
  6. Step 6: Final answer
    x = 467.99

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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.