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Finding the Fourth Proportional to 214.68, 320.10 and 214.28

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Solution

The fourth proportional to 214.68, 320.10 and 214.28 is: 319.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.68 : 320.10 = 214.28 : x
  2. Step 2: Convert to fraction form
    214.68/320.10 = 214.28/x
  3. Step 3: Cross multiply
    214.68x = 320.10 × 214.28
  4. Step 4: Simplify right side
    214.68x = 68,591.03
  5. Step 5: Solve for x
    x = 68,591.03/214.68
  6. Step 6: Final answer
    x = 319.50

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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.