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Finding the Fourth Proportional to 245.91, 339.29 and 158.64

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Solution

The fourth proportional to 245.91, 339.29 and 158.64 is: 218.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.91 : 339.29 = 158.64 : x
  2. Step 2: Convert to fraction form
    245.91/339.29 = 158.64/x
  3. Step 3: Cross multiply
    245.91x = 339.29 × 158.64
  4. Step 4: Simplify right side
    245.91x = 53,824.97
  5. Step 5: Solve for x
    x = 53,824.97/245.91
  6. Step 6: Final answer
    x = 218.88

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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.