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Finding the Fourth Proportional to 394.78, 592.94 and 248.78

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Solution

The fourth proportional to 394.78, 592.94 and 248.78 is: 373.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.78 : 592.94 = 248.78 : x
  2. Step 2: Convert to fraction form
    394.78/592.94 = 248.78/x
  3. Step 3: Cross multiply
    394.78x = 592.94 × 248.78
  4. Step 4: Simplify right side
    394.78x = 147,513.72
  5. Step 5: Solve for x
    x = 147,513.72/394.78
  6. Step 6: Final answer
    x = 373.66

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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.