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Finding the Fourth Proportional to 245.04, 338.16 and 189.84

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Solution

The fourth proportional to 245.04, 338.16 and 189.84 is: 261.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.04 : 338.16 = 189.84 : x
  2. Step 2: Convert to fraction form
    245.04/338.16 = 189.84/x
  3. Step 3: Cross multiply
    245.04x = 338.16 × 189.84
  4. Step 4: Simplify right side
    245.04x = 64,196.29
  5. Step 5: Solve for x
    x = 64,196.29/245.04
  6. Step 6: Final answer
    x = 261.98

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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.