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Finding the Fourth Proportional to 316.61, 436.29 and 261.74

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Solution

The fourth proportional to 316.61, 436.29 and 261.74 is: 360.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.61 : 436.29 = 261.74 : x
  2. Step 2: Convert to fraction form
    316.61/436.29 = 261.74/x
  3. Step 3: Cross multiply
    316.61x = 436.29 × 261.74
  4. Step 4: Simplify right side
    316.61x = 114,194.54
  5. Step 5: Solve for x
    x = 114,194.54/316.61
  6. Step 6: Final answer
    x = 360.68

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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.