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Finding the Fourth Proportional to 445.98, 615.62 and 298.56

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Solution

The fourth proportional to 445.98, 615.62 and 298.56 is: 412.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.98 : 615.62 = 298.56 : x
  2. Step 2: Convert to fraction form
    445.98/615.62 = 298.56/x
  3. Step 3: Cross multiply
    445.98x = 615.62 × 298.56
  4. Step 4: Simplify right side
    445.98x = 183,800.25
  5. Step 5: Solve for x
    x = 183,800.25/445.98
  6. Step 6: Final answer
    x = 412.13

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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.