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Finding the Fourth Proportional to 207.06, 285.78 and 137.16

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Solution

The fourth proportional to 207.06, 285.78 and 137.16 is: 189.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.06 : 285.78 = 137.16 : x
  2. Step 2: Convert to fraction form
    207.06/285.78 = 137.16/x
  3. Step 3: Cross multiply
    207.06x = 285.78 × 137.16
  4. Step 4: Simplify right side
    207.06x = 39,197.58
  5. Step 5: Solve for x
    x = 39,197.58/207.06
  6. Step 6: Final answer
    x = 189.31

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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.