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Finding the Fourth Proportional to 442.72, 664.28 and 278.16

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Solution

The fourth proportional to 442.72, 664.28 and 278.16 is: 417.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.72 : 664.28 = 278.16 : x
  2. Step 2: Convert to fraction form
    442.72/664.28 = 278.16/x
  3. Step 3: Cross multiply
    442.72x = 664.28 × 278.16
  4. Step 4: Simplify right side
    442.72x = 184,776.12
  5. Step 5: Solve for x
    x = 184,776.12/442.72
  6. Step 6: Final answer
    x = 417.37

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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.