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Finding the Fourth Proportional to 442.16, 664.20 and 314.72

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Solution

The fourth proportional to 442.16, 664.20 and 314.72 is: 472.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.16 : 664.20 = 314.72 : x
  2. Step 2: Convert to fraction form
    442.16/664.20 = 314.72/x
  3. Step 3: Cross multiply
    442.16x = 664.20 × 314.72
  4. Step 4: Simplify right side
    442.16x = 209,037.02
  5. Step 5: Solve for x
    x = 209,037.02/442.16
  6. Step 6: Final answer
    x = 472.76

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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.