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Finding the Fourth Proportional to 212.82, 317.05 and 202.49

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Solution

The fourth proportional to 212.82, 317.05 and 202.49 is: 301.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.82 : 317.05 = 202.49 : x
  2. Step 2: Convert to fraction form
    212.82/317.05 = 202.49/x
  3. Step 3: Cross multiply
    212.82x = 317.05 × 202.49
  4. Step 4: Simplify right side
    212.82x = 64,199.45
  5. Step 5: Solve for x
    x = 64,199.45/212.82
  6. Step 6: Final answer
    x = 301.66

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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.