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Finding the Fourth Proportional to 341.35, 471.08 and 210.40

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Solution

The fourth proportional to 341.35, 471.08 and 210.40 is: 290.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.35 : 471.08 = 210.40 : x
  2. Step 2: Convert to fraction form
    341.35/471.08 = 210.40/x
  3. Step 3: Cross multiply
    341.35x = 471.08 × 210.40
  4. Step 4: Simplify right side
    341.35x = 99,115.23
  5. Step 5: Solve for x
    x = 99,115.23/341.35
  6. Step 6: Final answer
    x = 290.36

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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.