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Finding the Fourth Proportional to 259.22, 386.74 and 233.12

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Solution

The fourth proportional to 259.22, 386.74 and 233.12 is: 347.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.22 : 386.74 = 233.12 : x
  2. Step 2: Convert to fraction form
    259.22/386.74 = 233.12/x
  3. Step 3: Cross multiply
    259.22x = 386.74 × 233.12
  4. Step 4: Simplify right side
    259.22x = 90,156.83
  5. Step 5: Solve for x
    x = 90,156.83/259.22
  6. Step 6: Final answer
    x = 347.80

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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.