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Finding the Fourth Proportional to 213.39, 316.53 and 210.15

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Solution

The fourth proportional to 213.39, 316.53 and 210.15 is: 311.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.39 : 316.53 = 210.15 : x
  2. Step 2: Convert to fraction form
    213.39/316.53 = 210.15/x
  3. Step 3: Cross multiply
    213.39x = 316.53 × 210.15
  4. Step 4: Simplify right side
    213.39x = 66,518.78
  5. Step 5: Solve for x
    x = 66,518.78/213.39
  6. Step 6: Final answer
    x = 311.72

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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.