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Finding the Fourth Proportional to 294.48, 439.56 and 257.94

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Solution

The fourth proportional to 294.48, 439.56 and 257.94 is: 385.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.48 : 439.56 = 257.94 : x
  2. Step 2: Convert to fraction form
    294.48/439.56 = 257.94/x
  3. Step 3: Cross multiply
    294.48x = 439.56 × 257.94
  4. Step 4: Simplify right side
    294.48x = 113,380.11
  5. Step 5: Solve for x
    x = 113,380.11/294.48
  6. Step 6: Final answer
    x = 385.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.