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Finding the Fourth Proportional to 292.14, 436.68 and 223.29

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Solution

The fourth proportional to 292.14, 436.68 and 223.29 is: 333.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.14 : 436.68 = 223.29 : x
  2. Step 2: Convert to fraction form
    292.14/436.68 = 223.29/x
  3. Step 3: Cross multiply
    292.14x = 436.68 × 223.29
  4. Step 4: Simplify right side
    292.14x = 97,506.28
  5. Step 5: Solve for x
    x = 97,506.28/292.14
  6. Step 6: Final answer
    x = 333.77

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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.