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Finding the Fourth Proportional to 442.08, 662.72 and 259.63

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Solution

The fourth proportional to 442.08, 662.72 and 259.63 is: 389.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.08 : 662.72 = 259.63 : x
  2. Step 2: Convert to fraction form
    442.08/662.72 = 259.63/x
  3. Step 3: Cross multiply
    442.08x = 662.72 × 259.63
  4. Step 4: Simplify right side
    442.08x = 172,059.04
  5. Step 5: Solve for x
    x = 172,059.04/442.08
  6. Step 6: Final answer
    x = 389.20

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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.