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Finding the Fourth Proportional to 259.23, 386.64 and 220.95

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Solution

The fourth proportional to 259.23, 386.64 and 220.95 is: 329.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.23 : 386.64 = 220.95 : x
  2. Step 2: Convert to fraction form
    259.23/386.64 = 220.95/x
  3. Step 3: Cross multiply
    259.23x = 386.64 × 220.95
  4. Step 4: Simplify right side
    259.23x = 85,428.11
  5. Step 5: Solve for x
    x = 85,428.11/259.23
  6. Step 6: Final answer
    x = 329.55

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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.