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Finding the Fourth Proportional to 440.22, 657.88 and 385.54

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Solution

The fourth proportional to 440.22, 657.88 and 385.54 is: 576.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.22 : 657.88 = 385.54 : x
  2. Step 2: Convert to fraction form
    440.22/657.88 = 385.54/x
  3. Step 3: Cross multiply
    440.22x = 657.88 × 385.54
  4. Step 4: Simplify right side
    440.22x = 253,639.06
  5. Step 5: Solve for x
    x = 253,639.06/440.22
  6. Step 6: Final answer
    x = 576.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.