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Finding the Fourth Proportional to 288.40, 398.18 and 178.03

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Solution

The fourth proportional to 288.40, 398.18 and 178.03 is: 245.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.40 : 398.18 = 178.03 : x
  2. Step 2: Convert to fraction form
    288.40/398.18 = 178.03/x
  3. Step 3: Cross multiply
    288.40x = 398.18 × 178.03
  4. Step 4: Simplify right side
    288.40x = 70,889.30
  5. Step 5: Solve for x
    x = 70,889.30/288.40
  6. Step 6: Final answer
    x = 245.80

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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.