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Finding the Fourth Proportional to 535.15, 801.27 and 278.11

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Solution

The fourth proportional to 535.15, 801.27 and 278.11 is: 416.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.15 : 801.27 = 278.11 : x
  2. Step 2: Convert to fraction form
    535.15/801.27 = 278.11/x
  3. Step 3: Cross multiply
    535.15x = 801.27 × 278.11
  4. Step 4: Simplify right side
    535.15x = 222,841.20
  5. Step 5: Solve for x
    x = 222,841.20/535.15
  6. Step 6: Final answer
    x = 416.41

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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.