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Finding the Fourth Proportional to 261.58, 359.04 and 233.34

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Solution

The fourth proportional to 261.58, 359.04 and 233.34 is: 320.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.58 : 359.04 = 233.34 : x
  2. Step 2: Convert to fraction form
    261.58/359.04 = 233.34/x
  3. Step 3: Cross multiply
    261.58x = 359.04 × 233.34
  4. Step 4: Simplify right side
    261.58x = 83,778.39
  5. Step 5: Solve for x
    x = 83,778.39/261.58
  6. Step 6: Final answer
    x = 320.28

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.