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Finding the Fourth Proportional to 206.51, 287.00 and 204.35

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Solution

The fourth proportional to 206.51, 287.00 and 204.35 is: 284.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.51 : 287.00 = 204.35 : x
  2. Step 2: Convert to fraction form
    206.51/287.00 = 204.35/x
  3. Step 3: Cross multiply
    206.51x = 287.00 × 204.35
  4. Step 4: Simplify right side
    206.51x = 58,646.76
  5. Step 5: Solve for x
    x = 58,646.76/206.51
  6. Step 6: Final answer
    x = 284.00

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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.