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Finding the Fourth Proportional to 207.15, 285.77 and 133.59

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Solution

The fourth proportional to 207.15, 285.77 and 133.59 is: 184.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.15 : 285.77 = 133.59 : x
  2. Step 2: Convert to fraction form
    207.15/285.77 = 133.59/x
  3. Step 3: Cross multiply
    207.15x = 285.77 × 133.59
  4. Step 4: Simplify right side
    207.15x = 38,175.35
  5. Step 5: Solve for x
    x = 38,175.35/207.15
  6. Step 6: Final answer
    x = 184.29

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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.