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Finding the Fourth Proportional to 435.28, 651.68 and 288.88

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Solution

The fourth proportional to 435.28, 651.68 and 288.88 is: 432.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.28 : 651.68 = 288.88 : x
  2. Step 2: Convert to fraction form
    435.28/651.68 = 288.88/x
  3. Step 3: Cross multiply
    435.28x = 651.68 × 288.88
  4. Step 4: Simplify right side
    435.28x = 188,257.32
  5. Step 5: Solve for x
    x = 188,257.32/435.28
  6. Step 6: Final answer
    x = 432.50

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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.