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Finding the Fourth Proportional to 445.90, 615.52 and 294.46

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Solution

The fourth proportional to 445.90, 615.52 and 294.46 is: 406.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.90 : 615.52 = 294.46 : x
  2. Step 2: Convert to fraction form
    445.90/615.52 = 294.46/x
  3. Step 3: Cross multiply
    445.90x = 615.52 × 294.46
  4. Step 4: Simplify right side
    445.90x = 181,246.02
  5. Step 5: Solve for x
    x = 181,246.02/445.90
  6. Step 6: Final answer
    x = 406.47

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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.