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Finding the Fourth Proportional to 445.83, 615.63 and 298.55

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Solution

The fourth proportional to 445.83, 615.63 and 298.55 is: 412.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.83 : 615.63 = 298.55 : x
  2. Step 2: Convert to fraction form
    445.83/615.63 = 298.55/x
  3. Step 3: Cross multiply
    445.83x = 615.63 × 298.55
  4. Step 4: Simplify right side
    445.83x = 183,793.88
  5. Step 5: Solve for x
    x = 183,793.88/445.83
  6. Step 6: Final answer
    x = 412.25

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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.