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Finding the Fourth Proportional to 256.18, 383.38 and 188.14

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Solution

The fourth proportional to 256.18, 383.38 and 188.14 is: 281.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.18 : 383.38 = 188.14 : x
  2. Step 2: Convert to fraction form
    256.18/383.38 = 188.14/x
  3. Step 3: Cross multiply
    256.18x = 383.38 × 188.14
  4. Step 4: Simplify right side
    256.18x = 72,129.11
  5. Step 5: Solve for x
    x = 72,129.11/256.18
  6. Step 6: Final answer
    x = 281.56

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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.