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Finding the Fourth Proportional to 288.54, 434.97 and 240.75

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Solution

The fourth proportional to 288.54, 434.97 and 240.75 is: 362.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.54 : 434.97 = 240.75 : x
  2. Step 2: Convert to fraction form
    288.54/434.97 = 240.75/x
  3. Step 3: Cross multiply
    288.54x = 434.97 × 240.75
  4. Step 4: Simplify right side
    288.54x = 104,719.03
  5. Step 5: Solve for x
    x = 104,719.03/288.54
  6. Step 6: Final answer
    x = 362.93

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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.