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Finding the Fourth Proportional to 256.95, 384.30 and 187.74

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Solution

The fourth proportional to 256.95, 384.30 and 187.74 is: 280.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.95 : 384.30 = 187.74 : x
  2. Step 2: Convert to fraction form
    256.95/384.30 = 187.74/x
  3. Step 3: Cross multiply
    256.95x = 384.30 × 187.74
  4. Step 4: Simplify right side
    256.95x = 72,148.48
  5. Step 5: Solve for x
    x = 72,148.48/256.95
  6. Step 6: Final answer
    x = 280.79

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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.