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Finding the Fourth Proportional to 341.42, 471.14 and 210.43

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Solution

The fourth proportional to 341.42, 471.14 and 210.43 is: 290.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.42 : 471.14 = 210.43 : x
  2. Step 2: Convert to fraction form
    341.42/471.14 = 210.43/x
  3. Step 3: Cross multiply
    341.42x = 471.14 × 210.43
  4. Step 4: Simplify right side
    341.42x = 99,140.94
  5. Step 5: Solve for x
    x = 99,140.94/341.42
  6. Step 6: Final answer
    x = 290.38

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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.