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Finding the Fourth Proportional to 168.29, 253.71 and 156.54

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Solution

The fourth proportional to 168.29, 253.71 and 156.54 is: 236.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.29 : 253.71 = 156.54 : x
  2. Step 2: Convert to fraction form
    168.29/253.71 = 156.54/x
  3. Step 3: Cross multiply
    168.29x = 253.71 × 156.54
  4. Step 4: Simplify right side
    168.29x = 39,715.76
  5. Step 5: Solve for x
    x = 39,715.76/168.29
  6. Step 6: Final answer
    x = 236.00

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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.