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Finding the Fourth Proportional to 445.62, 615.02 and 259.08

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Solution

The fourth proportional to 445.62, 615.02 and 259.08 is: 357.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.62 : 615.02 = 259.08 : x
  2. Step 2: Convert to fraction form
    445.62/615.02 = 259.08/x
  3. Step 3: Cross multiply
    445.62x = 615.02 × 259.08
  4. Step 4: Simplify right side
    445.62x = 159,335.78
  5. Step 5: Solve for x
    x = 159,335.78/445.62
  6. Step 6: Final answer
    x = 357.56

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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.