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Finding the Fourth Proportional to 256.94, 387.33 and 240.22

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Solution

The fourth proportional to 256.94, 387.33 and 240.22 is: 362.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.94 : 387.33 = 240.22 : x
  2. Step 2: Convert to fraction form
    256.94/387.33 = 240.22/x
  3. Step 3: Cross multiply
    256.94x = 387.33 × 240.22
  4. Step 4: Simplify right side
    256.94x = 93,044.41
  5. Step 5: Solve for x
    x = 93,044.41/256.94
  6. Step 6: Final answer
    x = 362.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.