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Finding the Fourth Proportional to 283.30, 391.06 and 178.57

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Solution

The fourth proportional to 283.30, 391.06 and 178.57 is: 246.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.30 : 391.06 = 178.57 : x
  2. Step 2: Convert to fraction form
    283.30/391.06 = 178.57/x
  3. Step 3: Cross multiply
    283.30x = 391.06 × 178.57
  4. Step 4: Simplify right side
    283.30x = 69,829.47
  5. Step 5: Solve for x
    x = 69,829.47/283.30
  6. Step 6: Final answer
    x = 246.48

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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.