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Finding the Fourth Proportional to 207.35, 309.47 and 191.07

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Solution

The fourth proportional to 207.35, 309.47 and 191.07 is: 285.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.35 : 309.47 = 191.07 : x
  2. Step 2: Convert to fraction form
    207.35/309.47 = 191.07/x
  3. Step 3: Cross multiply
    207.35x = 309.47 × 191.07
  4. Step 4: Simplify right side
    207.35x = 59,129.48
  5. Step 5: Solve for x
    x = 59,129.48/207.35
  6. Step 6: Final answer
    x = 285.17

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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.