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Finding the Fourth Proportional to 256.50, 386.53 and 214.13

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Solution

The fourth proportional to 256.50, 386.53 and 214.13 is: 322.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.50 : 386.53 = 214.13 : x
  2. Step 2: Convert to fraction form
    256.50/386.53 = 214.13/x
  3. Step 3: Cross multiply
    256.50x = 386.53 × 214.13
  4. Step 4: Simplify right side
    256.50x = 82,766.53
  5. Step 5: Solve for x
    x = 82,766.53/256.50
  6. Step 6: Final answer
    x = 322.68

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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.