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Finding the Fourth Proportional to 259.06, 386.57 and 236.06

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Solution

The fourth proportional to 259.06, 386.57 and 236.06 is: 352.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.06 : 386.57 = 236.06 : x
  2. Step 2: Convert to fraction form
    259.06/386.57 = 236.06/x
  3. Step 3: Cross multiply
    259.06x = 386.57 × 236.06
  4. Step 4: Simplify right side
    259.06x = 91,253.71
  5. Step 5: Solve for x
    x = 91,253.71/259.06
  6. Step 6: Final answer
    x = 352.25

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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.