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Finding the Fourth Proportional to 292.68, 437.69 and 223.28

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Solution

The fourth proportional to 292.68, 437.69 and 223.28 is: 333.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.68 : 437.69 = 223.28 : x
  2. Step 2: Convert to fraction form
    292.68/437.69 = 223.28/x
  3. Step 3: Cross multiply
    292.68x = 437.69 × 223.28
  4. Step 4: Simplify right side
    292.68x = 97,730.44
  5. Step 5: Solve for x
    x = 97,730.44/292.68
  6. Step 6: Final answer
    x = 333.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.