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Finding the Fourth Proportional to 245, 338.02 and 155.20

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Solution

The fourth proportional to 245, 338.02 and 155.20 is: 214.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    245 : 338.02 = 155.20 : x
  2. Step 2: Convert to fraction form
    245/338.02 = 155.20/x
  3. Step 3: Cross multiply
    245x = 338.02 × 155.20
  4. Step 4: Simplify right side
    245x = 52,460.70
  5. Step 5: Solve for x
    x = 52,460.70/245
  6. Step 6: Final answer
    x = 214.13

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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.