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Finding the Fourth Proportional to 169.64, 255.36 and 152

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Solution

The fourth proportional to 169.64, 255.36 and 152 is: 228.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.64 : 255.36 = 152 : x
  2. Step 2: Convert to fraction form
    169.64/255.36 = 152/x
  3. Step 3: Cross multiply
    169.64x = 255.36 × 152
  4. Step 4: Simplify right side
    169.64x = 38,814.72
  5. Step 5: Solve for x
    x = 38,814.72/169.64
  6. Step 6: Final answer
    x = 228.81

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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.