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Finding the Fourth Proportional to 615.12, 922.77 and 290.22

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Solution

The fourth proportional to 615.12, 922.77 and 290.22 is: 435.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.12 : 922.77 = 290.22 : x
  2. Step 2: Convert to fraction form
    615.12/922.77 = 290.22/x
  3. Step 3: Cross multiply
    615.12x = 922.77 × 290.22
  4. Step 4: Simplify right side
    615.12x = 267,806.31
  5. Step 5: Solve for x
    x = 267,806.31/615.12
  6. Step 6: Final answer
    x = 435.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.