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Finding the Fourth Proportional to 214.66, 322.09 and 117.24

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Solution

The fourth proportional to 214.66, 322.09 and 117.24 is: 175.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.66 : 322.09 = 117.24 : x
  2. Step 2: Convert to fraction form
    214.66/322.09 = 117.24/x
  3. Step 3: Cross multiply
    214.66x = 322.09 × 117.24
  4. Step 4: Simplify right side
    214.66x = 37,761.83
  5. Step 5: Solve for x
    x = 37,761.83/214.66
  6. Step 6: Final answer
    x = 175.91

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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.