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Finding the Fourth Proportional to 292.78, 403.98 and 176.38

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Solution

The fourth proportional to 292.78, 403.98 and 176.38 is: 243.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.78 : 403.98 = 176.38 : x
  2. Step 2: Convert to fraction form
    292.78/403.98 = 176.38/x
  3. Step 3: Cross multiply
    292.78x = 403.98 × 176.38
  4. Step 4: Simplify right side
    292.78x = 71,253.99
  5. Step 5: Solve for x
    x = 71,253.99/292.78
  6. Step 6: Final answer
    x = 243.37

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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.