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Finding the Fourth Proportional to 292.14, 436.23 and 261.09

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Solution

The fourth proportional to 292.14, 436.23 and 261.09 is: 389.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.14 : 436.23 = 261.09 : x
  2. Step 2: Convert to fraction form
    292.14/436.23 = 261.09/x
  3. Step 3: Cross multiply
    292.14x = 436.23 × 261.09
  4. Step 4: Simplify right side
    292.14x = 113,895.29
  5. Step 5: Solve for x
    x = 113,895.29/292.14
  6. Step 6: Final answer
    x = 389.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.