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Finding the Fourth Proportional to 234.93, 322.47 and 214.08

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Solution

The fourth proportional to 234.93, 322.47 and 214.08 is: 293.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.93 : 322.47 = 214.08 : x
  2. Step 2: Convert to fraction form
    234.93/322.47 = 214.08/x
  3. Step 3: Cross multiply
    234.93x = 322.47 × 214.08
  4. Step 4: Simplify right side
    234.93x = 69,033.17
  5. Step 5: Solve for x
    x = 69,033.17/234.93
  6. Step 6: Final answer
    x = 293.84

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.