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Finding the Fourth Proportional to 440.30, 660.32 and 234.77

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Solution

The fourth proportional to 440.30, 660.32 and 234.77 is: 352.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.30 : 660.32 = 234.77 : x
  2. Step 2: Convert to fraction form
    440.30/660.32 = 234.77/x
  3. Step 3: Cross multiply
    440.30x = 660.32 × 234.77
  4. Step 4: Simplify right side
    440.30x = 155,020.61
  5. Step 5: Solve for x
    x = 155,020.61/440.30
  6. Step 6: Final answer
    x = 352.08

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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.