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Finding the Fourth Proportional to 224.90, 308.53 and 210.93

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Solution

The fourth proportional to 224.90, 308.53 and 210.93 is: 289.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.90 : 308.53 = 210.93 : x
  2. Step 2: Convert to fraction form
    224.90/308.53 = 210.93/x
  3. Step 3: Cross multiply
    224.90x = 308.53 × 210.93
  4. Step 4: Simplify right side
    224.90x = 65,078.23
  5. Step 5: Solve for x
    x = 65,078.23/224.90
  6. Step 6: Final answer
    x = 289.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.