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Finding the Fourth Proportional to 331.87, 497.87 and 278.14

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Solution

The fourth proportional to 331.87, 497.87 and 278.14 is: 417.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.87 : 497.87 = 278.14 : x
  2. Step 2: Convert to fraction form
    331.87/497.87 = 278.14/x
  3. Step 3: Cross multiply
    331.87x = 497.87 × 278.14
  4. Step 4: Simplify right side
    331.87x = 138,474.93
  5. Step 5: Solve for x
    x = 138,474.93/331.87
  6. Step 6: Final answer
    x = 417.26

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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.