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Finding the Fourth Proportional to 442.87, 666.88 and 328.13

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Solution

The fourth proportional to 442.87, 666.88 and 328.13 is: 494.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.87 : 666.88 = 328.13 : x
  2. Step 2: Convert to fraction form
    442.87/666.88 = 328.13/x
  3. Step 3: Cross multiply
    442.87x = 666.88 × 328.13
  4. Step 4: Simplify right side
    442.87x = 218,825.82
  5. Step 5: Solve for x
    x = 218,825.82/442.87
  6. Step 6: Final answer
    x = 494.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.