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Finding the Fourth Proportional to 256.04, 383.77 and 163.32

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Solution

The fourth proportional to 256.04, 383.77 and 163.32 is: 244.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.04 : 383.77 = 163.32 : x
  2. Step 2: Convert to fraction form
    256.04/383.77 = 163.32/x
  3. Step 3: Cross multiply
    256.04x = 383.77 × 163.32
  4. Step 4: Simplify right side
    256.04x = 62,677.32
  5. Step 5: Solve for x
    x = 62,677.32/256.04
  6. Step 6: Final answer
    x = 244.80

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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.