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Finding the Fourth Proportional to 258.94, 386.80 and 220.24

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Solution

The fourth proportional to 258.94, 386.80 and 220.24 is: 328.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.94 : 386.80 = 220.24 : x
  2. Step 2: Convert to fraction form
    258.94/386.80 = 220.24/x
  3. Step 3: Cross multiply
    258.94x = 386.80 × 220.24
  4. Step 4: Simplify right side
    258.94x = 85,188.83
  5. Step 5: Solve for x
    x = 85,188.83/258.94
  6. Step 6: Final answer
    x = 328.99

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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.