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Finding the Fourth Proportional to 535.19, 801.92 and 288.38

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Solution

The fourth proportional to 535.19, 801.92 and 288.38 is: 432.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.19 : 801.92 = 288.38 : x
  2. Step 2: Convert to fraction form
    535.19/801.92 = 288.38/x
  3. Step 3: Cross multiply
    535.19x = 801.92 × 288.38
  4. Step 4: Simplify right side
    535.19x = 231,260.42
  5. Step 5: Solve for x
    x = 231,260.42/535.19
  6. Step 6: Final answer
    x = 432.11

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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.