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Finding the Fourth Proportional to 442.68, 662.40 and 260.16

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Solution

The fourth proportional to 442.68, 662.40 and 260.16 is: 389.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.68 : 662.40 = 260.16 : x
  2. Step 2: Convert to fraction form
    442.68/662.40 = 260.16/x
  3. Step 3: Cross multiply
    442.68x = 662.40 × 260.16
  4. Step 4: Simplify right side
    442.68x = 172,329.98
  5. Step 5: Solve for x
    x = 172,329.98/442.68
  6. Step 6: Final answer
    x = 389.29

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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.