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Finding the Fourth Proportional to 214.97, 322.50 and 70.70

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Solution

The fourth proportional to 214.97, 322.50 and 70.70 is: 106.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.97 : 322.50 = 70.70 : x
  2. Step 2: Convert to fraction form
    214.97/322.50 = 70.70/x
  3. Step 3: Cross multiply
    214.97x = 322.50 × 70.70
  4. Step 4: Simplify right side
    214.97x = 22,799.14
  5. Step 5: Solve for x
    x = 22,799.14/214.97
  6. Step 6: Final answer
    x = 106.06

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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.