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Finding the Fourth Proportional to 615.33, 922.35 and 290.43

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Solution

The fourth proportional to 615.33, 922.35 and 290.43 is: 435.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.33 : 922.35 = 290.43 : x
  2. Step 2: Convert to fraction form
    615.33/922.35 = 290.43/x
  3. Step 3: Cross multiply
    615.33x = 922.35 × 290.43
  4. Step 4: Simplify right side
    615.33x = 267,878.11
  5. Step 5: Solve for x
    x = 267,878.11/615.33
  6. Step 6: Final answer
    x = 435.34

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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.