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Finding the Fourth Proportional to 256.09, 384.16 and 126.13

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Solution

The fourth proportional to 256.09, 384.16 and 126.13 is: 189.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.09 : 384.16 = 126.13 : x
  2. Step 2: Convert to fraction form
    256.09/384.16 = 126.13/x
  3. Step 3: Cross multiply
    256.09x = 384.16 × 126.13
  4. Step 4: Simplify right side
    256.09x = 48,454.10
  5. Step 5: Solve for x
    x = 48,454.10/256.09
  6. Step 6: Final answer
    x = 189.21

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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.