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Finding the Fourth Proportional to 214.78, 322.14 and 106.52

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Solution

The fourth proportional to 214.78, 322.14 and 106.52 is: 159.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.78 : 322.14 = 106.52 : x
  2. Step 2: Convert to fraction form
    214.78/322.14 = 106.52/x
  3. Step 3: Cross multiply
    214.78x = 322.14 × 106.52
  4. Step 4: Simplify right side
    214.78x = 34,314.35
  5. Step 5: Solve for x
    x = 34,314.35/214.78
  6. Step 6: Final answer
    x = 159.77

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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.