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Finding the Fourth Proportional to 256.46, 384.38 and 110.16

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Solution

The fourth proportional to 256.46, 384.38 and 110.16 is: 165.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.46 : 384.38 = 110.16 : x
  2. Step 2: Convert to fraction form
    256.46/384.38 = 110.16/x
  3. Step 3: Cross multiply
    256.46x = 384.38 × 110.16
  4. Step 4: Simplify right side
    256.46x = 42,343.30
  5. Step 5: Solve for x
    x = 42,343.30/256.46
  6. Step 6: Final answer
    x = 165.11

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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.