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Finding the Fourth Proportional to 535.38, 801.26 and 330.08

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Solution

The fourth proportional to 535.38, 801.26 and 330.08 is: 494.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.38 : 801.26 = 330.08 : x
  2. Step 2: Convert to fraction form
    535.38/801.26 = 330.08/x
  3. Step 3: Cross multiply
    535.38x = 801.26 × 330.08
  4. Step 4: Simplify right side
    535.38x = 264,479.90
  5. Step 5: Solve for x
    x = 264,479.90/535.38
  6. Step 6: Final answer
    x = 494.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.