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Finding the Fourth Proportional to 322.90, 445.71 and 210.88

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Solution

The fourth proportional to 322.90, 445.71 and 210.88 is: 291.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.90 : 445.71 = 210.88 : x
  2. Step 2: Convert to fraction form
    322.90/445.71 = 210.88/x
  3. Step 3: Cross multiply
    322.90x = 445.71 × 210.88
  4. Step 4: Simplify right side
    322.90x = 93,991.32
  5. Step 5: Solve for x
    x = 93,991.32/322.90
  6. Step 6: Final answer
    x = 291.08

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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.