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Finding the Fourth Proportional to 176.40, 265.86 and 165.60

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Solution

The fourth proportional to 176.40, 265.86 and 165.60 is: 249.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.40 : 265.86 = 165.60 : x
  2. Step 2: Convert to fraction form
    176.40/265.86 = 165.60/x
  3. Step 3: Cross multiply
    176.40x = 265.86 × 165.60
  4. Step 4: Simplify right side
    176.40x = 44,026.42
  5. Step 5: Solve for x
    x = 44,026.42/176.40
  6. Step 6: Final answer
    x = 249.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.