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Finding the Fourth Proportional to 212.87, 316.78 and 210.59

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Solution

The fourth proportional to 212.87, 316.78 and 210.59 is: 313.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.87 : 316.78 = 210.59 : x
  2. Step 2: Convert to fraction form
    212.87/316.78 = 210.59/x
  3. Step 3: Cross multiply
    212.87x = 316.78 × 210.59
  4. Step 4: Simplify right side
    212.87x = 66,710.70
  5. Step 5: Solve for x
    x = 66,710.70/212.87
  6. Step 6: Final answer
    x = 313.39

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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.