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Finding the Fourth Proportional to 615.45, 923.06 and 176.60

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Solution

The fourth proportional to 615.45, 923.06 and 176.60 is: 264.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.45 : 923.06 = 176.60 : x
  2. Step 2: Convert to fraction form
    615.45/923.06 = 176.60/x
  3. Step 3: Cross multiply
    615.45x = 923.06 × 176.60
  4. Step 4: Simplify right side
    615.45x = 163,011.51
  5. Step 5: Solve for x
    x = 163,011.51/615.45
  6. Step 6: Final answer
    x = 264.87

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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.