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Finding the Fourth Proportional to 256.42, 384.15 and 151.99

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Solution

The fourth proportional to 256.42, 384.15 and 151.99 is: 227.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.42 : 384.15 = 151.99 : x
  2. Step 2: Convert to fraction form
    256.42/384.15 = 151.99/x
  3. Step 3: Cross multiply
    256.42x = 384.15 × 151.99
  4. Step 4: Simplify right side
    256.42x = 58,386.96
  5. Step 5: Solve for x
    x = 58,386.96/256.42
  6. Step 6: Final answer
    x = 227.70

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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.