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Finding the Fourth Proportional to 176.24, 264.13 and 153.31

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Solution

The fourth proportional to 176.24, 264.13 and 153.31 is: 229.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.24 : 264.13 = 153.31 : x
  2. Step 2: Convert to fraction form
    176.24/264.13 = 153.31/x
  3. Step 3: Cross multiply
    176.24x = 264.13 × 153.31
  4. Step 4: Simplify right side
    176.24x = 40,491.68
  5. Step 5: Solve for x
    x = 40,491.68/176.24
  6. Step 6: Final answer
    x = 229.75

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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.