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Finding the Fourth Proportional to 259.09, 386.95 and 234.66

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Solution

The fourth proportional to 259.09, 386.95 and 234.66 is: 350.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.09 : 386.95 = 234.66 : x
  2. Step 2: Convert to fraction form
    259.09/386.95 = 234.66/x
  3. Step 3: Cross multiply
    259.09x = 386.95 × 234.66
  4. Step 4: Simplify right side
    259.09x = 90,802.17
  5. Step 5: Solve for x
    x = 90,802.17/259.09
  6. Step 6: Final answer
    x = 350.47

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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.