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Finding the Fourth Proportional to 256.01, 384.27 and 242.14

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Solution

The fourth proportional to 256.01, 384.27 and 242.14 is: 363.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.01 : 384.27 = 242.14 : x
  2. Step 2: Convert to fraction form
    256.01/384.27 = 242.14/x
  3. Step 3: Cross multiply
    256.01x = 384.27 × 242.14
  4. Step 4: Simplify right side
    256.01x = 93,045.27
  5. Step 5: Solve for x
    x = 93,045.27/256.01
  6. Step 6: Final answer
    x = 363.44

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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.