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Finding the Fourth Proportional to 207.08, 287.64 and 203.77

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Solution

The fourth proportional to 207.08, 287.64 and 203.77 is: 283.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.08 : 287.64 = 203.77 : x
  2. Step 2: Convert to fraction form
    207.08/287.64 = 203.77/x
  3. Step 3: Cross multiply
    207.08x = 287.64 × 203.77
  4. Step 4: Simplify right side
    207.08x = 58,612.40
  5. Step 5: Solve for x
    x = 58,612.40/207.08
  6. Step 6: Final answer
    x = 283.04

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.