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Finding the Fourth Proportional to 442.89, 611.06 and 277.04

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Solution

The fourth proportional to 442.89, 611.06 and 277.04 is: 382.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.89 : 611.06 = 277.04 : x
  2. Step 2: Convert to fraction form
    442.89/611.06 = 277.04/x
  3. Step 3: Cross multiply
    442.89x = 611.06 × 277.04
  4. Step 4: Simplify right side
    442.89x = 169,288.20
  5. Step 5: Solve for x
    x = 169,288.20/442.89
  6. Step 6: Final answer
    x = 382.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.