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Finding the Fourth Proportional to 256.16, 383.88 and 194.96

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Solution

The fourth proportional to 256.16, 383.88 and 194.96 is: 292.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.16 : 383.88 = 194.96 : x
  2. Step 2: Convert to fraction form
    256.16/383.88 = 194.96/x
  3. Step 3: Cross multiply
    256.16x = 383.88 × 194.96
  4. Step 4: Simplify right side
    256.16x = 74,841.24
  5. Step 5: Solve for x
    x = 74,841.24/256.16
  6. Step 6: Final answer
    x = 292.17

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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.