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Finding the Fourth Proportional to 355.42, 535.03 and 278.92

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Solution

The fourth proportional to 355.42, 535.03 and 278.92 is: 419.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.42 : 535.03 = 278.92 : x
  2. Step 2: Convert to fraction form
    355.42/535.03 = 278.92/x
  3. Step 3: Cross multiply
    355.42x = 535.03 × 278.92
  4. Step 4: Simplify right side
    355.42x = 149,230.57
  5. Step 5: Solve for x
    x = 149,230.57/355.42
  6. Step 6: Final answer
    x = 419.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.