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Finding the Fourth Proportional to 256.76, 384.86 and 102.66

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Solution

The fourth proportional to 256.76, 384.86 and 102.66 is: 153.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.76 : 384.86 = 102.66 : x
  2. Step 2: Convert to fraction form
    256.76/384.86 = 102.66/x
  3. Step 3: Cross multiply
    256.76x = 384.86 × 102.66
  4. Step 4: Simplify right side
    256.76x = 39,509.73
  5. Step 5: Solve for x
    x = 39,509.73/256.76
  6. Step 6: Final answer
    x = 153.88

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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.