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Finding the Fourth Proportional to 258.84, 386.10 and 220.56

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Solution

The fourth proportional to 258.84, 386.10 and 220.56 is: 329.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.84 : 386.10 = 220.56 : x
  2. Step 2: Convert to fraction form
    258.84/386.10 = 220.56/x
  3. Step 3: Cross multiply
    258.84x = 386.10 × 220.56
  4. Step 4: Simplify right side
    258.84x = 85,158.22
  5. Step 5: Solve for x
    x = 85,158.22/258.84
  6. Step 6: Final answer
    x = 329.00

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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.