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Finding the Fourth Proportional to 453.42, 680.10 and 164.82

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Solution

The fourth proportional to 453.42, 680.10 and 164.82 is: 247.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.42 : 680.10 = 164.82 : x
  2. Step 2: Convert to fraction form
    453.42/680.10 = 164.82/x
  3. Step 3: Cross multiply
    453.42x = 680.10 × 164.82
  4. Step 4: Simplify right side
    453.42x = 112,094.08
  5. Step 5: Solve for x
    x = 112,094.08/453.42
  6. Step 6: Final answer
    x = 247.22

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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.