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Finding the Fourth Proportional to 292.62, 403.61 and 275.21

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Solution

The fourth proportional to 292.62, 403.61 and 275.21 is: 379.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.62 : 403.61 = 275.21 : x
  2. Step 2: Convert to fraction form
    292.62/403.61 = 275.21/x
  3. Step 3: Cross multiply
    292.62x = 403.61 × 275.21
  4. Step 4: Simplify right side
    292.62x = 111,074.11
  5. Step 5: Solve for x
    x = 111,074.11/292.62
  6. Step 6: Final answer
    x = 379.58

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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.