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Finding the Fourth Proportional to 341.62, 471.26 and 210.54

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Solution

The fourth proportional to 341.62, 471.26 and 210.54 is: 290.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.62 : 471.26 = 210.54 : x
  2. Step 2: Convert to fraction form
    341.62/471.26 = 210.54/x
  3. Step 3: Cross multiply
    341.62x = 471.26 × 210.54
  4. Step 4: Simplify right side
    341.62x = 99,219.08
  5. Step 5: Solve for x
    x = 99,219.08/341.62
  6. Step 6: Final answer
    x = 290.44

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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.