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Finding the Fourth Proportional to 256.47, 382.92 and 210.71

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Solution

The fourth proportional to 256.47, 382.92 and 210.71 is: 314.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.47 : 382.92 = 210.71 : x
  2. Step 2: Convert to fraction form
    256.47/382.92 = 210.71/x
  3. Step 3: Cross multiply
    256.47x = 382.92 × 210.71
  4. Step 4: Simplify right side
    256.47x = 80,683.16
  5. Step 5: Solve for x
    x = 80,683.16/256.47
  6. Step 6: Final answer
    x = 314.59

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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.