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Finding the Fourth Proportional to 248.20, 342.05 and 185.87

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Solution

The fourth proportional to 248.20, 342.05 and 185.87 is: 256.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.20 : 342.05 = 185.87 : x
  2. Step 2: Convert to fraction form
    248.20/342.05 = 185.87/x
  3. Step 3: Cross multiply
    248.20x = 342.05 × 185.87
  4. Step 4: Simplify right side
    248.20x = 63,576.76
  5. Step 5: Solve for x
    x = 63,576.76/248.20
  6. Step 6: Final answer
    x = 256.15

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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.