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Finding the Fourth Proportional to 224.01, 309.38 and 215.91

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Solution

The fourth proportional to 224.01, 309.38 and 215.91 is: 298.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.01 : 309.38 = 215.91 : x
  2. Step 2: Convert to fraction form
    224.01/309.38 = 215.91/x
  3. Step 3: Cross multiply
    224.01x = 309.38 × 215.91
  4. Step 4: Simplify right side
    224.01x = 66,797.16
  5. Step 5: Solve for x
    x = 66,797.16/224.01
  6. Step 6: Final answer
    x = 298.19

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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.