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Finding the Fourth Proportional to 245.67, 338.95 and 147.42

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Solution

The fourth proportional to 245.67, 338.95 and 147.42 is: 203.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.67 : 338.95 = 147.42 : x
  2. Step 2: Convert to fraction form
    245.67/338.95 = 147.42/x
  3. Step 3: Cross multiply
    245.67x = 338.95 × 147.42
  4. Step 4: Simplify right side
    245.67x = 49,968.19
  5. Step 5: Solve for x
    x = 49,968.19/245.67
  6. Step 6: Final answer
    x = 203.40

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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.