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Finding the Fourth Proportional to 214.70, 320.18 and 187.43

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Solution

The fourth proportional to 214.70, 320.18 and 187.43 is: 279.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.70 : 320.18 = 187.43 : x
  2. Step 2: Convert to fraction form
    214.70/320.18 = 187.43/x
  3. Step 3: Cross multiply
    214.70x = 320.18 × 187.43
  4. Step 4: Simplify right side
    214.70x = 60,011.34
  5. Step 5: Solve for x
    x = 60,011.34/214.70
  6. Step 6: Final answer
    x = 279.51

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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.