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Finding the Fourth Proportional to 333.32, 497.39 and 294.21

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Solution

The fourth proportional to 333.32, 497.39 and 294.21 is: 439.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.32 : 497.39 = 294.21 : x
  2. Step 2: Convert to fraction form
    333.32/497.39 = 294.21/x
  3. Step 3: Cross multiply
    333.32x = 497.39 × 294.21
  4. Step 4: Simplify right side
    333.32x = 146,335.64
  5. Step 5: Solve for x
    x = 146,335.64/333.32
  6. Step 6: Final answer
    x = 439.03

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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.