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Finding the Fourth Proportional to 256.38, 384.76 and 188.08

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Solution

The fourth proportional to 256.38, 384.76 and 188.08 is: 282.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.38 : 384.76 = 188.08 : x
  2. Step 2: Convert to fraction form
    256.38/384.76 = 188.08/x
  3. Step 3: Cross multiply
    256.38x = 384.76 × 188.08
  4. Step 4: Simplify right side
    256.38x = 72,365.66
  5. Step 5: Solve for x
    x = 72,365.66/256.38
  6. Step 6: Final answer
    x = 282.26

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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.