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Finding the Fourth Proportional to 288.07, 431.06 and 247.97

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Solution

The fourth proportional to 288.07, 431.06 and 247.97 is: 371.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.07 : 431.06 = 247.97 : x
  2. Step 2: Convert to fraction form
    288.07/431.06 = 247.97/x
  3. Step 3: Cross multiply
    288.07x = 431.06 × 247.97
  4. Step 4: Simplify right side
    288.07x = 106,888.71
  5. Step 5: Solve for x
    x = 106,888.71/288.07
  6. Step 6: Final answer
    x = 371.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.