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Finding the Fourth Proportional to 256.23, 382.59 and 210.66

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Solution

The fourth proportional to 256.23, 382.59 and 210.66 is: 314.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.23 : 382.59 = 210.66 : x
  2. Step 2: Convert to fraction form
    256.23/382.59 = 210.66/x
  3. Step 3: Cross multiply
    256.23x = 382.59 × 210.66
  4. Step 4: Simplify right side
    256.23x = 80,596.41
  5. Step 5: Solve for x
    x = 80,596.41/256.23
  6. Step 6: Final answer
    x = 314.55

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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.