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Finding the Fourth Proportional to 278.17, 383.67 and 258.46

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Solution

The fourth proportional to 278.17, 383.67 and 258.46 is: 356.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.17 : 383.67 = 258.46 : x
  2. Step 2: Convert to fraction form
    278.17/383.67 = 258.46/x
  3. Step 3: Cross multiply
    278.17x = 383.67 × 258.46
  4. Step 4: Simplify right side
    278.17x = 99,163.35
  5. Step 5: Solve for x
    x = 99,163.35/278.17
  6. Step 6: Final answer
    x = 356.48

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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.