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Finding the Fourth Proportional to 245.71, 338.96 and 147.45

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Solution

The fourth proportional to 245.71, 338.96 and 147.45 is: 203.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.71 : 338.96 = 147.45 : x
  2. Step 2: Convert to fraction form
    245.71/338.96 = 147.45/x
  3. Step 3: Cross multiply
    245.71x = 338.96 × 147.45
  4. Step 4: Simplify right side
    245.71x = 49,979.65
  5. Step 5: Solve for x
    x = 49,979.65/245.71
  6. Step 6: Final answer
    x = 203.41

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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.