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Finding the Fourth Proportional to 660.19, 990.39 and 294.96

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Solution

The fourth proportional to 660.19, 990.39 and 294.96 is: 442.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.19 : 990.39 = 294.96 : x
  2. Step 2: Convert to fraction form
    660.19/990.39 = 294.96/x
  3. Step 3: Cross multiply
    660.19x = 990.39 × 294.96
  4. Step 4: Simplify right side
    660.19x = 292,125.43
  5. Step 5: Solve for x
    x = 292,125.43/660.19
  6. Step 6: Final answer
    x = 442.49

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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.