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Finding the Fourth Proportional to 294.98, 442.08 and 192.21

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Solution

The fourth proportional to 294.98, 442.08 and 192.21 is: 288.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.98 : 442.08 = 192.21 : x
  2. Step 2: Convert to fraction form
    294.98/442.08 = 192.21/x
  3. Step 3: Cross multiply
    294.98x = 442.08 × 192.21
  4. Step 4: Simplify right side
    294.98x = 84,972.20
  5. Step 5: Solve for x
    x = 84,972.20/294.98
  6. Step 6: Final answer
    x = 288.06

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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.