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Finding the Fourth Proportional to 445.44, 615.13 and 298.42

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Solution

The fourth proportional to 445.44, 615.13 and 298.42 is: 412.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.44 : 615.13 = 298.42 : x
  2. Step 2: Convert to fraction form
    445.44/615.13 = 298.42/x
  3. Step 3: Cross multiply
    445.44x = 615.13 × 298.42
  4. Step 4: Simplify right side
    445.44x = 183,567.09
  5. Step 5: Solve for x
    x = 183,567.09/445.44
  6. Step 6: Final answer
    x = 412.10

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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.