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Finding the Fourth Proportional to 214.32, 318.69 and 210.20

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Solution

The fourth proportional to 214.32, 318.69 and 210.20 is: 312.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.32 : 318.69 = 210.20 : x
  2. Step 2: Convert to fraction form
    214.32/318.69 = 210.20/x
  3. Step 3: Cross multiply
    214.32x = 318.69 × 210.20
  4. Step 4: Simplify right side
    214.32x = 66,988.64
  5. Step 5: Solve for x
    x = 66,988.64/214.32
  6. Step 6: Final answer
    x = 312.56

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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.