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Finding the Fourth Proportional to 288.39, 434.37 and 263.42

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Solution

The fourth proportional to 288.39, 434.37 and 263.42 is: 396.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.39 : 434.37 = 263.42 : x
  2. Step 2: Convert to fraction form
    288.39/434.37 = 263.42/x
  3. Step 3: Cross multiply
    288.39x = 434.37 × 263.42
  4. Step 4: Simplify right side
    288.39x = 114,419.57
  5. Step 5: Solve for x
    x = 114,419.57/288.39
  6. Step 6: Final answer
    x = 396.75

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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.