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Finding the Fourth Proportional to 341.86, 513.01 and 205.04

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Solution

The fourth proportional to 341.86, 513.01 and 205.04 is: 307.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.86 : 513.01 = 205.04 : x
  2. Step 2: Convert to fraction form
    341.86/513.01 = 205.04/x
  3. Step 3: Cross multiply
    341.86x = 513.01 × 205.04
  4. Step 4: Simplify right side
    341.86x = 105,187.57
  5. Step 5: Solve for x
    x = 105,187.57/341.86
  6. Step 6: Final answer
    x = 307.69

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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.