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Finding the Fourth Proportional to 660.14, 990.33 and 294.95

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Solution

The fourth proportional to 660.14, 990.33 and 294.95 is: 442.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.14 : 990.33 = 294.95 : x
  2. Step 2: Convert to fraction form
    660.14/990.33 = 294.95/x
  3. Step 3: Cross multiply
    660.14x = 990.33 × 294.95
  4. Step 4: Simplify right side
    660.14x = 292,100.60
  5. Step 5: Solve for x
    x = 292,100.60/660.14
  6. Step 6: Final answer
    x = 442.48

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1.5x scale

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.