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Finding the Fourth Proportional to 288.78, 434.88 and 260.22

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Solution

The fourth proportional to 288.78, 434.88 and 260.22 is: 391.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.78 : 434.88 = 260.22 : x
  2. Step 2: Convert to fraction form
    288.78/434.88 = 260.22/x
  3. Step 3: Cross multiply
    288.78x = 434.88 × 260.22
  4. Step 4: Simplify right side
    288.78x = 113,164.47
  5. Step 5: Solve for x
    x = 113,164.47/288.78
  6. Step 6: Final answer
    x = 391.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.