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Finding the Fourth Proportional to 341.78, 513.12 and 205.08

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Solution

The fourth proportional to 341.78, 513.12 and 205.08 is: 307.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.78 : 513.12 = 205.08 : x
  2. Step 2: Convert to fraction form
    341.78/513.12 = 205.08/x
  3. Step 3: Cross multiply
    341.78x = 513.12 × 205.08
  4. Step 4: Simplify right side
    341.78x = 105,230.65
  5. Step 5: Solve for x
    x = 105,230.65/341.78
  6. Step 6: Final answer
    x = 307.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.