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Finding the Fourth Proportional to 168.87, 253.40 and 86.63

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Solution

The fourth proportional to 168.87, 253.40 and 86.63 is: 129.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.87 : 253.40 = 86.63 : x
  2. Step 2: Convert to fraction form
    168.87/253.40 = 86.63/x
  3. Step 3: Cross multiply
    168.87x = 253.40 × 86.63
  4. Step 4: Simplify right side
    168.87x = 21,950.34
  5. Step 5: Solve for x
    x = 21,950.34/168.87
  6. Step 6: Final answer
    x = 129.98

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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.