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Finding the Fourth Proportional to 176.47, 263.59 and 175.21

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Solution

The fourth proportional to 176.47, 263.59 and 175.21 is: 261.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.47 : 263.59 = 175.21 : x
  2. Step 2: Convert to fraction form
    176.47/263.59 = 175.21/x
  3. Step 3: Cross multiply
    176.47x = 263.59 × 175.21
  4. Step 4: Simplify right side
    176.47x = 46,183.60
  5. Step 5: Solve for x
    x = 46,183.60/176.47
  6. Step 6: Final answer
    x = 261.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.