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Finding the Fourth Proportional to 485.50, 728.57 and 229.02

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Solution

The fourth proportional to 485.50, 728.57 and 229.02 is: 343.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.50 : 728.57 = 229.02 : x
  2. Step 2: Convert to fraction form
    485.50/728.57 = 229.02/x
  3. Step 3: Cross multiply
    485.50x = 728.57 × 229.02
  4. Step 4: Simplify right side
    485.50x = 166,857.10
  5. Step 5: Solve for x
    x = 166,857.10/485.50
  6. Step 6: Final answer
    x = 343.68

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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.