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Finding the Fourth Proportional to 341.74, 471.70 and 217.32

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Solution

The fourth proportional to 341.74, 471.70 and 217.32 is: 299.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.74 : 471.70 = 217.32 : x
  2. Step 2: Convert to fraction form
    341.74/471.70 = 217.32/x
  3. Step 3: Cross multiply
    341.74x = 471.70 × 217.32
  4. Step 4: Simplify right side
    341.74x = 102,509.84
  5. Step 5: Solve for x
    x = 102,509.84/341.74
  6. Step 6: Final answer
    x = 299.96

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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.