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Finding the Fourth Proportional to 453.74, 680.65 and 210.22

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Solution

The fourth proportional to 453.74, 680.65 and 210.22 is: 315.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.74 : 680.65 = 210.22 : x
  2. Step 2: Convert to fraction form
    453.74/680.65 = 210.22/x
  3. Step 3: Cross multiply
    453.74x = 680.65 × 210.22
  4. Step 4: Simplify right side
    453.74x = 143,084.02
  5. Step 5: Solve for x
    x = 143,084.02/453.74
  6. Step 6: Final answer
    x = 315.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.