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Finding the Fourth Proportional to 245.35, 338.47 and 167.59

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Solution

The fourth proportional to 245.35, 338.47 and 167.59 is: 231.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.35 : 338.47 = 167.59 : x
  2. Step 2: Convert to fraction form
    245.35/338.47 = 167.59/x
  3. Step 3: Cross multiply
    245.35x = 338.47 × 167.59
  4. Step 4: Simplify right side
    245.35x = 56,724.19
  5. Step 5: Solve for x
    x = 56,724.19/245.35
  6. Step 6: Final answer
    x = 231.20

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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.