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Finding the Fourth Proportional to 171.90, 233.64 and 171.90

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Solution

The fourth proportional to 171.90, 233.64 and 171.90 is: 233.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.90 : 233.64 = 171.90 : x
  2. Step 2: Convert to fraction form
    171.90/233.64 = 171.90/x
  3. Step 3: Cross multiply
    171.90x = 233.64 × 171.90
  4. Step 4: Simplify right side
    171.90x = 40,162.72
  5. Step 5: Solve for x
    x = 40,162.72/171.90
  6. Step 6: Final answer
    x = 233.64

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.