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Finding the Fourth Proportional to 485.56, 669.36 and 337.78

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Solution

The fourth proportional to 485.56, 669.36 and 337.78 is: 465.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.56 : 669.36 = 337.78 : x
  2. Step 2: Convert to fraction form
    485.56/669.36 = 337.78/x
  3. Step 3: Cross multiply
    485.56x = 669.36 × 337.78
  4. Step 4: Simplify right side
    485.56x = 226,096.42
  5. Step 5: Solve for x
    x = 226,096.42/485.56
  6. Step 6: Final answer
    x = 465.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.