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Finding the Fourth Proportional to 288.35, 432.28 and 134.19

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Solution

The fourth proportional to 288.35, 432.28 and 134.19 is: 201.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.35 : 432.28 = 134.19 : x
  2. Step 2: Convert to fraction form
    288.35/432.28 = 134.19/x
  3. Step 3: Cross multiply
    288.35x = 432.28 × 134.19
  4. Step 4: Simplify right side
    288.35x = 58,007.82
  5. Step 5: Solve for x
    x = 58,007.82/288.35
  6. Step 6: Final answer
    x = 201.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.