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Finding the Fourth Proportional to 292.70, 436.48 and 269.06

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Solution

The fourth proportional to 292.70, 436.48 and 269.06 is: 401.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.70 : 436.48 = 269.06 : x
  2. Step 2: Convert to fraction form
    292.70/436.48 = 269.06/x
  3. Step 3: Cross multiply
    292.70x = 436.48 × 269.06
  4. Step 4: Simplify right side
    292.70x = 117,439.31
  5. Step 5: Solve for x
    x = 117,439.31/292.70
  6. Step 6: Final answer
    x = 401.23

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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.