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Finding the Fourth Proportional to 248.68, 342.71 and 178.62

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Solution

The fourth proportional to 248.68, 342.71 and 178.62 is: 246.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.68 : 342.71 = 178.62 : x
  2. Step 2: Convert to fraction form
    248.68/342.71 = 178.62/x
  3. Step 3: Cross multiply
    248.68x = 342.71 × 178.62
  4. Step 4: Simplify right side
    248.68x = 61,214.86
  5. Step 5: Solve for x
    x = 61,214.86/248.68
  6. Step 6: Final answer
    x = 246.16

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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.