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Finding the Fourth Proportional to 615.86, 923.70 and 269.14

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Solution

The fourth proportional to 615.86, 923.70 and 269.14 is: 403.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.86 : 923.70 = 269.14 : x
  2. Step 2: Convert to fraction form
    615.86/923.70 = 269.14/x
  3. Step 3: Cross multiply
    615.86x = 923.70 × 269.14
  4. Step 4: Simplify right side
    615.86x = 248,599.92
  5. Step 5: Solve for x
    x = 248,599.92/615.86
  6. Step 6: Final answer
    x = 403.66

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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.