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Finding the Fourth Proportional to 213.32, 316.34 and 210.62

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Solution

The fourth proportional to 213.32, 316.34 and 210.62 is: 312.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.32 : 316.34 = 210.62 : x
  2. Step 2: Convert to fraction form
    213.32/316.34 = 210.62/x
  3. Step 3: Cross multiply
    213.32x = 316.34 × 210.62
  4. Step 4: Simplify right side
    213.32x = 66,627.53
  5. Step 5: Solve for x
    x = 66,627.53/213.32
  6. Step 6: Final answer
    x = 312.34

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.