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Finding the Fourth Proportional to 212.16, 291.10 and 208.52

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Solution

The fourth proportional to 212.16, 291.10 and 208.52 is: 286.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.16 : 291.10 = 208.52 : x
  2. Step 2: Convert to fraction form
    212.16/291.10 = 208.52/x
  3. Step 3: Cross multiply
    212.16x = 291.10 × 208.52
  4. Step 4: Simplify right side
    212.16x = 60,700.17
  5. Step 5: Solve for x
    x = 60,700.17/212.16
  6. Step 6: Final answer
    x = 286.11

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.