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Finding the Fourth Proportional to 259.25, 386.60 and 220.07

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Solution

The fourth proportional to 259.25, 386.60 and 220.07 is: 328.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.25 : 386.60 = 220.07 : x
  2. Step 2: Convert to fraction form
    259.25/386.60 = 220.07/x
  3. Step 3: Cross multiply
    259.25x = 386.60 × 220.07
  4. Step 4: Simplify right side
    259.25x = 85,077.37
  5. Step 5: Solve for x
    x = 85,077.37/259.25
  6. Step 6: Final answer
    x = 328.17

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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.