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Finding the Fourth Proportional to 211.60, 315.47 and 206.18

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Solution

The fourth proportional to 211.60, 315.47 and 206.18 is: 307.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.60 : 315.47 = 206.18 : x
  2. Step 2: Convert to fraction form
    211.60/315.47 = 206.18/x
  3. Step 3: Cross multiply
    211.60x = 315.47 × 206.18
  4. Step 4: Simplify right side
    211.60x = 65,043.73
  5. Step 5: Solve for x
    x = 65,043.73/211.60
  6. Step 6: Final answer
    x = 307.39

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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.