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Finding the Fourth Proportional to 259.10, 386.67 and 233.18

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Solution

The fourth proportional to 259.10, 386.67 and 233.18 is: 347.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.10 : 386.67 = 233.18 : x
  2. Step 2: Convert to fraction form
    259.10/386.67 = 233.18/x
  3. Step 3: Cross multiply
    259.10x = 386.67 × 233.18
  4. Step 4: Simplify right side
    259.10x = 90,164.10
  5. Step 5: Solve for x
    x = 90,164.10/259.10
  6. Step 6: Final answer
    x = 347.99

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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.