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Finding the Fourth Proportional to 256.16, 384.40 and 192.80

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Solution

The fourth proportional to 256.16, 384.40 and 192.80 is: 289.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.16 : 384.40 = 192.80 : x
  2. Step 2: Convert to fraction form
    256.16/384.40 = 192.80/x
  3. Step 3: Cross multiply
    256.16x = 384.40 × 192.80
  4. Step 4: Simplify right side
    256.16x = 74,112.32
  5. Step 5: Solve for x
    x = 74,112.32/256.16
  6. Step 6: Final answer
    x = 289.32

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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.