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Finding the Fourth Proportional to 212.17, 315.84 and 202.21

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Solution

The fourth proportional to 212.17, 315.84 and 202.21 is: 301.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.17 : 315.84 = 202.21 : x
  2. Step 2: Convert to fraction form
    212.17/315.84 = 202.21/x
  3. Step 3: Cross multiply
    212.17x = 315.84 × 202.21
  4. Step 4: Simplify right side
    212.17x = 63,866.01
  5. Step 5: Solve for x
    x = 63,866.01/212.17
  6. Step 6: Final answer
    x = 301.01

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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.