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Finding the Fourth Proportional to 660.18, 990.49 and 295.22

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Solution

The fourth proportional to 660.18, 990.49 and 295.22 is: 442.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.18 : 990.49 = 295.22 : x
  2. Step 2: Convert to fraction form
    660.18/990.49 = 295.22/x
  3. Step 3: Cross multiply
    660.18x = 990.49 × 295.22
  4. Step 4: Simplify right side
    660.18x = 292,412.46
  5. Step 5: Solve for x
    x = 292,412.46/660.18
  6. Step 6: Final answer
    x = 442.93

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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.