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Finding the Fourth Proportional to 341.62, 513.12 and 204.94

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Solution

The fourth proportional to 341.62, 513.12 and 204.94 is: 307.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.62 : 513.12 = 204.94 : x
  2. Step 2: Convert to fraction form
    341.62/513.12 = 204.94/x
  3. Step 3: Cross multiply
    341.62x = 513.12 × 204.94
  4. Step 4: Simplify right side
    341.62x = 105,158.81
  5. Step 5: Solve for x
    x = 105,158.81/341.62
  6. Step 6: Final answer
    x = 307.82

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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.