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Finding the Fourth Proportional to 278.31, 383.79 and 258.17

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Solution

The fourth proportional to 278.31, 383.79 and 258.17 is: 356.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.31 : 383.79 = 258.17 : x
  2. Step 2: Convert to fraction form
    278.31/383.79 = 258.17/x
  3. Step 3: Cross multiply
    278.31x = 383.79 × 258.17
  4. Step 4: Simplify right side
    278.31x = 99,084.02
  5. Step 5: Solve for x
    x = 99,084.02/278.31
  6. Step 6: Final answer
    x = 356.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.