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Finding the Fourth Proportional to 442.78, 664.08 and 168.77

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Solution

The fourth proportional to 442.78, 664.08 and 168.77 is: 253.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.78 : 664.08 = 168.77 : x
  2. Step 2: Convert to fraction form
    442.78/664.08 = 168.77/x
  3. Step 3: Cross multiply
    442.78x = 664.08 × 168.77
  4. Step 4: Simplify right side
    442.78x = 112,077.81
  5. Step 5: Solve for x
    x = 112,077.81/442.78
  6. Step 6: Final answer
    x = 253.12

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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.