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Finding the Fourth Proportional to 452.64, 678.56 and 164.01

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Solution

The fourth proportional to 452.64, 678.56 and 164.01 is: 245.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.64 : 678.56 = 164.01 : x
  2. Step 2: Convert to fraction form
    452.64/678.56 = 164.01/x
  3. Step 3: Cross multiply
    452.64x = 678.56 × 164.01
  4. Step 4: Simplify right side
    452.64x = 111,289.81
  5. Step 5: Solve for x
    x = 111,289.81/452.64
  6. Step 6: Final answer
    x = 245.87

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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.