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Finding the Fourth Proportional to 442.56, 665.28 and 304.32

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Solution

The fourth proportional to 442.56, 665.28 and 304.32 is: 457.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.56 : 665.28 = 304.32 : x
  2. Step 2: Convert to fraction form
    442.56/665.28 = 304.32/x
  3. Step 3: Cross multiply
    442.56x = 665.28 × 304.32
  4. Step 4: Simplify right side
    442.56x = 202,458.01
  5. Step 5: Solve for x
    x = 202,458.01/442.56
  6. Step 6: Final answer
    x = 457.47

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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.