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Finding the Fourth Proportional to 214.72, 322.14 and 99.20

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Solution

The fourth proportional to 214.72, 322.14 and 99.20 is: 148.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.72 : 322.14 = 99.20 : x
  2. Step 2: Convert to fraction form
    214.72/322.14 = 99.20/x
  3. Step 3: Cross multiply
    214.72x = 322.14 × 99.20
  4. Step 4: Simplify right side
    214.72x = 31,956.29
  5. Step 5: Solve for x
    x = 31,956.29/214.72
  6. Step 6: Final answer
    x = 148.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.