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Finding the Fourth Proportional to 442.04, 659.94 and 338.78

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Solution

The fourth proportional to 442.04, 659.94 and 338.78 is: 505.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.04 : 659.94 = 338.78 : x
  2. Step 2: Convert to fraction form
    442.04/659.94 = 338.78/x
  3. Step 3: Cross multiply
    442.04x = 659.94 × 338.78
  4. Step 4: Simplify right side
    442.04x = 223,574.47
  5. Step 5: Solve for x
    x = 223,574.47/442.04
  6. Step 6: Final answer
    x = 505.78

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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.