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Finding the Fourth Proportional to 456.07, 684.03 and 167.44

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Solution

The fourth proportional to 456.07, 684.03 and 167.44 is: 251.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.07 : 684.03 = 167.44 : x
  2. Step 2: Convert to fraction form
    456.07/684.03 = 167.44/x
  3. Step 3: Cross multiply
    456.07x = 684.03 × 167.44
  4. Step 4: Simplify right side
    456.07x = 114,533.98
  5. Step 5: Solve for x
    x = 114,533.98/456.07
  6. Step 6: Final answer
    x = 251.13

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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.