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Finding the Fourth Proportional to 171.64, 257.32 and 63.36

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Solution

The fourth proportional to 171.64, 257.32 and 63.36 is: 94.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.64 : 257.32 = 63.36 : x
  2. Step 2: Convert to fraction form
    171.64/257.32 = 63.36/x
  3. Step 3: Cross multiply
    171.64x = 257.32 × 63.36
  4. Step 4: Simplify right side
    171.64x = 16,303.80
  5. Step 5: Solve for x
    x = 16,303.80/171.64
  6. Step 6: Final answer
    x = 94.99

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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.