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Finding the Fourth Proportional to 288.76, 432.72 and 144.28

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Solution

The fourth proportional to 288.76, 432.72 and 144.28 is: 216.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.76 : 432.72 = 144.28 : x
  2. Step 2: Convert to fraction form
    288.76/432.72 = 144.28/x
  3. Step 3: Cross multiply
    288.76x = 432.72 × 144.28
  4. Step 4: Simplify right side
    288.76x = 62,432.84
  5. Step 5: Solve for x
    x = 62,432.84/288.76
  6. Step 6: Final answer
    x = 216.21

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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.