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Finding the Fourth Proportional to 256.25, 386.25 and 239.55

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Solution

The fourth proportional to 256.25, 386.25 and 239.55 is: 361.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.25 : 386.25 = 239.55 : x
  2. Step 2: Convert to fraction form
    256.25/386.25 = 239.55/x
  3. Step 3: Cross multiply
    256.25x = 386.25 × 239.55
  4. Step 4: Simplify right side
    256.25x = 92,526.19
  5. Step 5: Solve for x
    x = 92,526.19/256.25
  6. Step 6: Final answer
    x = 361.08

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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.