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Finding the Fourth Proportional to 256.68, 382.95 and 233.10

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Solution

The fourth proportional to 256.68, 382.95 and 233.10 is: 347.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.68 : 382.95 = 233.10 : x
  2. Step 2: Convert to fraction form
    256.68/382.95 = 233.10/x
  3. Step 3: Cross multiply
    256.68x = 382.95 × 233.10
  4. Step 4: Simplify right side
    256.68x = 89,265.65
  5. Step 5: Solve for x
    x = 89,265.65/256.68
  6. Step 6: Final answer
    x = 347.77

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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.