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Finding the Fourth Proportional to 207.15, 309.21 and 193.47

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Solution

The fourth proportional to 207.15, 309.21 and 193.47 is: 288.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.15 : 309.21 = 193.47 : x
  2. Step 2: Convert to fraction form
    207.15/309.21 = 193.47/x
  3. Step 3: Cross multiply
    207.15x = 309.21 × 193.47
  4. Step 4: Simplify right side
    207.15x = 59,822.86
  5. Step 5: Solve for x
    x = 59,822.86/207.15
  6. Step 6: Final answer
    x = 288.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.