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Finding the Fourth Proportional to 206.15, 307.42 and 204.35

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Solution

The fourth proportional to 206.15, 307.42 and 204.35 is: 304.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.15 : 307.42 = 204.35 : x
  2. Step 2: Convert to fraction form
    206.15/307.42 = 204.35/x
  3. Step 3: Cross multiply
    206.15x = 307.42 × 204.35
  4. Step 4: Simplify right side
    206.15x = 62,821.28
  5. Step 5: Solve for x
    x = 62,821.28/206.15
  6. Step 6: Final answer
    x = 304.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.