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Finding the Fourth Proportional to 256.29, 384.39 and 100.05

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Solution

The fourth proportional to 256.29, 384.39 and 100.05 is: 150.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.29 : 384.39 = 100.05 : x
  2. Step 2: Convert to fraction form
    256.29/384.39 = 100.05/x
  3. Step 3: Cross multiply
    256.29x = 384.39 × 100.05
  4. Step 4: Simplify right side
    256.29x = 38,458.22
  5. Step 5: Solve for x
    x = 38,458.22/256.29
  6. Step 6: Final answer
    x = 150.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.