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Finding the Fourth Proportional to 440.96, 660.16 and 288.64

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Solution

The fourth proportional to 440.96, 660.16 and 288.64 is: 432.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.96 : 660.16 = 288.64 : x
  2. Step 2: Convert to fraction form
    440.96/660.16 = 288.64/x
  3. Step 3: Cross multiply
    440.96x = 660.16 × 288.64
  4. Step 4: Simplify right side
    440.96x = 190,548.58
  5. Step 5: Solve for x
    x = 190,548.58/440.96
  6. Step 6: Final answer
    x = 432.12

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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.