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Finding the Fourth Proportional to 294.98, 442.53 and 121.57

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Solution

The fourth proportional to 294.98, 442.53 and 121.57 is: 182.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.98 : 442.53 = 121.57 : x
  2. Step 2: Convert to fraction form
    294.98/442.53 = 121.57/x
  3. Step 3: Cross multiply
    294.98x = 442.53 × 121.57
  4. Step 4: Simplify right side
    294.98x = 53,797.27
  5. Step 5: Solve for x
    x = 53,797.27/294.98
  6. Step 6: Final answer
    x = 182.38

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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.