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Finding the Fourth Proportional to 615.90, 923.66 and 269.16

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Solution

The fourth proportional to 615.90, 923.66 and 269.16 is: 403.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.90 : 923.66 = 269.16 : x
  2. Step 2: Convert to fraction form
    615.90/923.66 = 269.16/x
  3. Step 3: Cross multiply
    615.90x = 923.66 × 269.16
  4. Step 4: Simplify right side
    615.90x = 248,612.33
  5. Step 5: Solve for x
    x = 248,612.33/615.90
  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.