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Finding the Fourth Proportional to 214.52, 320.02 and 208.64

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Solution

The fourth proportional to 214.52, 320.02 and 208.64 is: 311.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.52 : 320.02 = 208.64 : x
  2. Step 2: Convert to fraction form
    214.52/320.02 = 208.64/x
  3. Step 3: Cross multiply
    214.52x = 320.02 × 208.64
  4. Step 4: Simplify right side
    214.52x = 66,768.97
  5. Step 5: Solve for x
    x = 66,768.97/214.52
  6. Step 6: Final answer
    x = 311.25

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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.