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Finding the Fourth Proportional to 288.30, 431.76 and 142.15

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Solution

The fourth proportional to 288.30, 431.76 and 142.15 is: 212.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.30 : 431.76 = 142.15 : x
  2. Step 2: Convert to fraction form
    288.30/431.76 = 142.15/x
  3. Step 3: Cross multiply
    288.30x = 431.76 × 142.15
  4. Step 4: Simplify right side
    288.30x = 61,371.81
  5. Step 5: Solve for x
    x = 61,371.81/288.30
  6. Step 6: Final answer
    x = 212.87

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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.