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Finding the Fourth Proportional to 292.30, 403.72 and 193.89

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Solution

The fourth proportional to 292.30, 403.72 and 193.89 is: 267.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.30 : 403.72 = 193.89 : x
  2. Step 2: Convert to fraction form
    292.30/403.72 = 193.89/x
  3. Step 3: Cross multiply
    292.30x = 403.72 × 193.89
  4. Step 4: Simplify right side
    292.30x = 78,277.27
  5. Step 5: Solve for x
    x = 78,277.27/292.30
  6. Step 6: Final answer
    x = 267.80

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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.