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Finding the Fourth Proportional to 460.49, 635.21 and 294.40

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Solution

The fourth proportional to 460.49, 635.21 and 294.40 is: 406.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.49 : 635.21 = 294.40 : x
  2. Step 2: Convert to fraction form
    460.49/635.21 = 294.40/x
  3. Step 3: Cross multiply
    460.49x = 635.21 × 294.40
  4. Step 4: Simplify right side
    460.49x = 187,002.65
  5. Step 5: Solve for x
    x = 187,002.65/460.49
  6. Step 6: Final answer
    x = 406.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.