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Finding the Fourth Proportional to 294.62, 442.00 and 208.12

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Solution

The fourth proportional to 294.62, 442.00 and 208.12 is: 312.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.62 : 442.00 = 208.12 : x
  2. Step 2: Convert to fraction form
    294.62/442.00 = 208.12/x
  3. Step 3: Cross multiply
    294.62x = 442.00 × 208.12
  4. Step 4: Simplify right side
    294.62x = 91,987.71
  5. Step 5: Solve for x
    x = 91,987.71/294.62
  6. Step 6: Final answer
    x = 312.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.