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Finding the Fourth Proportional to 176.56, 265.04 and 138.08

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Solution

The fourth proportional to 176.56, 265.04 and 138.08 is: 207.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.56 : 265.04 = 138.08 : x
  2. Step 2: Convert to fraction form
    176.56/265.04 = 138.08/x
  3. Step 3: Cross multiply
    176.56x = 265.04 × 138.08
  4. Step 4: Simplify right side
    176.56x = 36,596.72
  5. Step 5: Solve for x
    x = 36,596.72/176.56
  6. Step 6: Final answer
    x = 207.28

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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.