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Finding the Fourth Proportional to 615.65, 923.20 and 230.63

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Solution

The fourth proportional to 615.65, 923.20 and 230.63 is: 345.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.65 : 923.20 = 230.63 : x
  2. Step 2: Convert to fraction form
    615.65/923.20 = 230.63/x
  3. Step 3: Cross multiply
    615.65x = 923.20 × 230.63
  4. Step 4: Simplify right side
    615.65x = 212,912.14
  5. Step 5: Solve for x
    x = 212,912.14/615.65
  6. Step 6: Final answer
    x = 345.84

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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.