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Finding the Fourth Proportional to 255.32, 382.82 and 152.66

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Solution

The fourth proportional to 255.32, 382.82 and 152.66 is: 228.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.32 : 382.82 = 152.66 : x
  2. Step 2: Convert to fraction form
    255.32/382.82 = 152.66/x
  3. Step 3: Cross multiply
    255.32x = 382.82 × 152.66
  4. Step 4: Simplify right side
    255.32x = 58,441.30
  5. Step 5: Solve for x
    x = 58,441.30/255.32
  6. Step 6: Final answer
    x = 228.90

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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.