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Finding the Fourth Proportional to 330.08, 497.38 and 273.57

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Solution

The fourth proportional to 330.08, 497.38 and 273.57 is: 412.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.08 : 497.38 = 273.57 : x
  2. Step 2: Convert to fraction form
    330.08/497.38 = 273.57/x
  3. Step 3: Cross multiply
    330.08x = 497.38 × 273.57
  4. Step 4: Simplify right side
    330.08x = 136,065.76
  5. Step 5: Solve for x
    x = 136,065.76/330.08
  6. Step 6: Final answer
    x = 412.23

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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.