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Finding the Fourth Proportional to 615.49, 923.28 and 182.66

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Solution

The fourth proportional to 615.49, 923.28 and 182.66 is: 274.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.49 : 923.28 = 182.66 : x
  2. Step 2: Convert to fraction form
    615.49/923.28 = 182.66/x
  3. Step 3: Cross multiply
    615.49x = 923.28 × 182.66
  4. Step 4: Simplify right side
    615.49x = 168,646.32
  5. Step 5: Solve for x
    x = 168,646.32/615.49
  6. Step 6: Final answer
    x = 274.01

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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.