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Finding the Fourth Proportional to 288.71, 398.42 and 176.74

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Solution

The fourth proportional to 288.71, 398.42 and 176.74 is: 243.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.71 : 398.42 = 176.74 : x
  2. Step 2: Convert to fraction form
    288.71/398.42 = 176.74/x
  3. Step 3: Cross multiply
    288.71x = 398.42 × 176.74
  4. Step 4: Simplify right side
    288.71x = 70,416.20
  5. Step 5: Solve for x
    x = 70,416.20/288.71
  6. Step 6: Final answer
    x = 243.90

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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.