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Finding the Fourth Proportional to 294.17, 405.64 and 224.24

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Solution

The fourth proportional to 294.17, 405.64 and 224.24 is: 309.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.17 : 405.64 = 224.24 : x
  2. Step 2: Convert to fraction form
    294.17/405.64 = 224.24/x
  3. Step 3: Cross multiply
    294.17x = 405.64 × 224.24
  4. Step 4: Simplify right side
    294.17x = 90,958.97
  5. Step 5: Solve for x
    x = 90,958.97/294.17
  6. Step 6: Final answer
    x = 309.21

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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.