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Finding the Fourth Proportional to 341.31, 471.24 and 210.39

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Solution

The fourth proportional to 341.31, 471.24 and 210.39 is: 290.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.31 : 471.24 = 210.39 : x
  2. Step 2: Convert to fraction form
    341.31/471.24 = 210.39/x
  3. Step 3: Cross multiply
    341.31x = 471.24 × 210.39
  4. Step 4: Simplify right side
    341.31x = 99,144.18
  5. Step 5: Solve for x
    x = 99,144.18/341.31
  6. Step 6: Final answer
    x = 290.48

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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.