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Finding the Fourth Proportional to 256.71, 382.62 and 242.11

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Solution

The fourth proportional to 256.71, 382.62 and 242.11 is: 360.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.71 : 382.62 = 242.11 : x
  2. Step 2: Convert to fraction form
    256.71/382.62 = 242.11/x
  3. Step 3: Cross multiply
    256.71x = 382.62 × 242.11
  4. Step 4: Simplify right side
    256.71x = 92,637.37
  5. Step 5: Solve for x
    x = 92,637.37/256.71
  6. Step 6: Final answer
    x = 360.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.