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Finding the Fourth Proportional to 288.99, 431.39 and 247.68

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Solution

The fourth proportional to 288.99, 431.39 and 247.68 is: 369.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.99 : 431.39 = 247.68 : x
  2. Step 2: Convert to fraction form
    288.99/431.39 = 247.68/x
  3. Step 3: Cross multiply
    288.99x = 431.39 × 247.68
  4. Step 4: Simplify right side
    288.99x = 106,846.68
  5. Step 5: Solve for x
    x = 106,846.68/288.99
  6. Step 6: Final answer
    x = 369.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.