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Finding the Fourth Proportional to 256.49, 384.64 and 133.10

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Solution

The fourth proportional to 256.49, 384.64 and 133.10 is: 199.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.49 : 384.64 = 133.10 : x
  2. Step 2: Convert to fraction form
    256.49/384.64 = 133.10/x
  3. Step 3: Cross multiply
    256.49x = 384.64 × 133.10
  4. Step 4: Simplify right side
    256.49x = 51,194.29
  5. Step 5: Solve for x
    x = 51,194.29/256.49
  6. Step 6: Final answer
    x = 199.60

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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.