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Finding the Fourth Proportional to 260.86, 360.04 and 233.50

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Solution

The fourth proportional to 260.86, 360.04 and 233.50 is: 322.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.86 : 360.04 = 233.50 : x
  2. Step 2: Convert to fraction form
    260.86/360.04 = 233.50/x
  3. Step 3: Cross multiply
    260.86x = 360.04 × 233.50
  4. Step 4: Simplify right side
    260.86x = 84,069.34
  5. Step 5: Solve for x
    x = 84,069.34/260.86
  6. Step 6: Final answer
    x = 322.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.