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Finding the Fourth Proportional to 485.34, 728.13 and 160.71

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Solution

The fourth proportional to 485.34, 728.13 and 160.71 is: 241.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.34 : 728.13 = 160.71 : x
  2. Step 2: Convert to fraction form
    485.34/728.13 = 160.71/x
  3. Step 3: Cross multiply
    485.34x = 728.13 × 160.71
  4. Step 4: Simplify right side
    485.34x = 117,019.14
  5. Step 5: Solve for x
    x = 117,019.14/485.34
  6. Step 6: Final answer
    x = 241.11

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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.