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Finding the Fourth Proportional to 211.90, 315.65 and 208.46

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Solution

The fourth proportional to 211.90, 315.65 and 208.46 is: 310.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.90 : 315.65 = 208.46 : x
  2. Step 2: Convert to fraction form
    211.90/315.65 = 208.46/x
  3. Step 3: Cross multiply
    211.90x = 315.65 × 208.46
  4. Step 4: Simplify right side
    211.90x = 65,800.40
  5. Step 5: Solve for x
    x = 65,800.40/211.90
  6. Step 6: Final answer
    x = 310.53

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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.