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Finding the Fourth Proportional to 294.60, 406.29 and 224.67

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Solution

The fourth proportional to 294.60, 406.29 and 224.67 is: 309.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.60 : 406.29 = 224.67 : x
  2. Step 2: Convert to fraction form
    294.60/406.29 = 224.67/x
  3. Step 3: Cross multiply
    294.60x = 406.29 × 224.67
  4. Step 4: Simplify right side
    294.60x = 91,281.17
  5. Step 5: Solve for x
    x = 91,281.17/294.60
  6. Step 6: Final answer
    x = 309.85

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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.