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Finding the Fourth Proportional to 214.24, 294.91 and 158.89

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Solution

The fourth proportional to 214.24, 294.91 and 158.89 is: 218.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.24 : 294.91 = 158.89 : x
  2. Step 2: Convert to fraction form
    214.24/294.91 = 158.89/x
  3. Step 3: Cross multiply
    214.24x = 294.91 × 158.89
  4. Step 4: Simplify right side
    214.24x = 46,857.46
  5. Step 5: Solve for x
    x = 46,857.46/214.24
  6. Step 6: Final answer
    x = 218.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.