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Finding the Fourth Proportional to 207.86, 287.16 and 206.24

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Solution

The fourth proportional to 207.86, 287.16 and 206.24 is: 284.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.86 : 287.16 = 206.24 : x
  2. Step 2: Convert to fraction form
    207.86/287.16 = 206.24/x
  3. Step 3: Cross multiply
    207.86x = 287.16 × 206.24
  4. Step 4: Simplify right side
    207.86x = 59,223.88
  5. Step 5: Solve for x
    x = 59,223.88/207.86
  6. Step 6: Final answer
    x = 284.92

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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.