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Finding the Fourth Proportional to 261.20, 360.58 and 214.68

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Solution

The fourth proportional to 261.20, 360.58 and 214.68 is: 296.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.20 : 360.58 = 214.68 : x
  2. Step 2: Convert to fraction form
    261.20/360.58 = 214.68/x
  3. Step 3: Cross multiply
    261.20x = 360.58 × 214.68
  4. Step 4: Simplify right side
    261.20x = 77,409.31
  5. Step 5: Solve for x
    x = 77,409.31/261.20
  6. Step 6: Final answer
    x = 296.36

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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.