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Finding the Fourth Proportional to 615.27, 922.10 and 341.22

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Solution

The fourth proportional to 615.27, 922.10 and 341.22 is: 511.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.27 : 922.10 = 341.22 : x
  2. Step 2: Convert to fraction form
    615.27/922.10 = 341.22/x
  3. Step 3: Cross multiply
    615.27x = 922.10 × 341.22
  4. Step 4: Simplify right side
    615.27x = 314,637.26
  5. Step 5: Solve for x
    x = 314,637.26/615.27
  6. Step 6: Final answer
    x = 511.38

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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.