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Finding the Fourth Proportional to 288.32, 398.22 and 264.92

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Solution

The fourth proportional to 288.32, 398.22 and 264.92 is: 365.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.32 : 398.22 = 264.92 : x
  2. Step 2: Convert to fraction form
    288.32/398.22 = 264.92/x
  3. Step 3: Cross multiply
    288.32x = 398.22 × 264.92
  4. Step 4: Simplify right side
    288.32x = 105,496.44
  5. Step 5: Solve for x
    x = 105,496.44/288.32
  6. Step 6: Final answer
    x = 365.90

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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.