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Finding the Fourth Proportional to 288.14, 398.40 and 275

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Solution

The fourth proportional to 288.14, 398.40 and 275 is: 380.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.14 : 398.40 = 275 : x
  2. Step 2: Convert to fraction form
    288.14/398.40 = 275/x
  3. Step 3: Cross multiply
    288.14x = 398.40 × 275
  4. Step 4: Simplify right side
    288.14x = 109,560
  5. Step 5: Solve for x
    x = 109,560/288.14
  6. Step 6: Final answer
    x = 380.23

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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.