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Finding the Fourth Proportional to 329.39, 491.53 and 285.65

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Solution

The fourth proportional to 329.39, 491.53 and 285.65 is: 426.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.39 : 491.53 = 285.65 : x
  2. Step 2: Convert to fraction form
    329.39/491.53 = 285.65/x
  3. Step 3: Cross multiply
    329.39x = 491.53 × 285.65
  4. Step 4: Simplify right side
    329.39x = 140,407.13
  5. Step 5: Solve for x
    x = 140,407.13/329.39
  6. Step 6: Final answer
    x = 426.26

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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.