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Finding the Fourth Proportional to 261.29, 359.54 and 213.60

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Solution

The fourth proportional to 261.29, 359.54 and 213.60 is: 293.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.29 : 359.54 = 213.60 : x
  2. Step 2: Convert to fraction form
    261.29/359.54 = 213.60/x
  3. Step 3: Cross multiply
    261.29x = 359.54 × 213.60
  4. Step 4: Simplify right side
    261.29x = 76,795.95
  5. Step 5: Solve for x
    x = 76,795.95/261.29
  6. Step 6: Final answer
    x = 293.92

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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.