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Finding the Fourth Proportional to 485.18, 727.70 and 160.55

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Solution

The fourth proportional to 485.18, 727.70 and 160.55 is: 240.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.18 : 727.70 = 160.55 : x
  2. Step 2: Convert to fraction form
    485.18/727.70 = 160.55/x
  3. Step 3: Cross multiply
    485.18x = 727.70 × 160.55
  4. Step 4: Simplify right side
    485.18x = 116,834.46
  5. Step 5: Solve for x
    x = 116,834.46/485.18
  6. Step 6: Final answer
    x = 240.81

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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.