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Finding the Fourth Proportional to 288.63, 397.26 and 251.91

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Solution

The fourth proportional to 288.63, 397.26 and 251.91 is: 346.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.63 : 397.26 = 251.91 : x
  2. Step 2: Convert to fraction form
    288.63/397.26 = 251.91/x
  3. Step 3: Cross multiply
    288.63x = 397.26 × 251.91
  4. Step 4: Simplify right side
    288.63x = 100,073.77
  5. Step 5: Solve for x
    x = 100,073.77/288.63
  6. Step 6: Final answer
    x = 346.72

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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.