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Finding the Fourth Proportional to 256.42, 384.86 and 191.62

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Solution

The fourth proportional to 256.42, 384.86 and 191.62 is: 287.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.42 : 384.86 = 191.62 : x
  2. Step 2: Convert to fraction form
    256.42/384.86 = 191.62/x
  3. Step 3: Cross multiply
    256.42x = 384.86 × 191.62
  4. Step 4: Simplify right side
    256.42x = 73,746.87
  5. Step 5: Solve for x
    x = 73,746.87/256.42
  6. Step 6: Final answer
    x = 287.60

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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.