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Finding the Fourth Proportional to 245.38, 338.64 and 152.11

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Solution

The fourth proportional to 245.38, 338.64 and 152.11 is: 209.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.38 : 338.64 = 152.11 : x
  2. Step 2: Convert to fraction form
    245.38/338.64 = 152.11/x
  3. Step 3: Cross multiply
    245.38x = 338.64 × 152.11
  4. Step 4: Simplify right side
    245.38x = 51,510.53
  5. Step 5: Solve for x
    x = 51,510.53/245.38
  6. Step 6: Final answer
    x = 209.92

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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.