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Finding the Fourth Proportional to 341.65, 471.57 and 286.30

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Solution

The fourth proportional to 341.65, 471.57 and 286.30 is: 395.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.65 : 471.57 = 286.30 : x
  2. Step 2: Convert to fraction form
    341.65/471.57 = 286.30/x
  3. Step 3: Cross multiply
    341.65x = 471.57 × 286.30
  4. Step 4: Simplify right side
    341.65x = 135,010.49
  5. Step 5: Solve for x
    x = 135,010.49/341.65
  6. Step 6: Final answer
    x = 395.17

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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.