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Finding the Fourth Proportional to 456.64, 685.01 and 168.01

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Solution

The fourth proportional to 456.64, 685.01 and 168.01 is: 252.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.64 : 685.01 = 168.01 : x
  2. Step 2: Convert to fraction form
    456.64/685.01 = 168.01/x
  3. Step 3: Cross multiply
    456.64x = 685.01 × 168.01
  4. Step 4: Simplify right side
    456.64x = 115,088.53
  5. Step 5: Solve for x
    x = 115,088.53/456.64
  6. Step 6: Final answer
    x = 252.03

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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.