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Finding the Fourth Proportional to 289.20, 431.88 and 248.76

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Solution

The fourth proportional to 289.20, 431.88 and 248.76 is: 371.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.20 : 431.88 = 248.76 : x
  2. Step 2: Convert to fraction form
    289.20/431.88 = 248.76/x
  3. Step 3: Cross multiply
    289.20x = 431.88 × 248.76
  4. Step 4: Simplify right side
    289.20x = 107,434.47
  5. Step 5: Solve for x
    x = 107,434.47/289.20
  6. Step 6: Final answer
    x = 371.49

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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.