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Finding the Fourth Proportional to 213.67, 318.72 and 210.14

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Solution

The fourth proportional to 213.67, 318.72 and 210.14 is: 313.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.67 : 318.72 = 210.14 : x
  2. Step 2: Convert to fraction form
    213.67/318.72 = 210.14/x
  3. Step 3: Cross multiply
    213.67x = 318.72 × 210.14
  4. Step 4: Simplify right side
    213.67x = 66,975.82
  5. Step 5: Solve for x
    x = 66,975.82/213.67
  6. Step 6: Final answer
    x = 313.45

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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.