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Finding the Fourth Proportional to 223.90, 307.16 and 209.93

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Solution

The fourth proportional to 223.90, 307.16 and 209.93 is: 287.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.90 : 307.16 = 209.93 : x
  2. Step 2: Convert to fraction form
    223.90/307.16 = 209.93/x
  3. Step 3: Cross multiply
    223.90x = 307.16 × 209.93
  4. Step 4: Simplify right side
    223.90x = 64,480.30
  5. Step 5: Solve for x
    x = 64,480.30/223.90
  6. Step 6: Final answer
    x = 287.99

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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.