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Finding the Fourth Proportional to 341.91, 471.72 and 210.69

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Solution

The fourth proportional to 341.91, 471.72 and 210.69 is: 290.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.91 : 471.72 = 210.69 : x
  2. Step 2: Convert to fraction form
    341.91/471.72 = 210.69/x
  3. Step 3: Cross multiply
    341.91x = 471.72 × 210.69
  4. Step 4: Simplify right side
    341.91x = 99,386.69
  5. Step 5: Solve for x
    x = 99,386.69/341.91
  6. Step 6: Final answer
    x = 290.68

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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.