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Finding the Fourth Proportional to 330.16, 497.48 and 273.65

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Solution

The fourth proportional to 330.16, 497.48 and 273.65 is: 412.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.16 : 497.48 = 273.65 : x
  2. Step 2: Convert to fraction form
    330.16/497.48 = 273.65/x
  3. Step 3: Cross multiply
    330.16x = 497.48 × 273.65
  4. Step 4: Simplify right side
    330.16x = 136,135.40
  5. Step 5: Solve for x
    x = 136,135.40/330.16
  6. Step 6: Final answer
    x = 412.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.