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Finding the Fourth Proportional to 261.44, 360.36 and 214.74

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Solution

The fourth proportional to 261.44, 360.36 and 214.74 is: 295.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.44 : 360.36 = 214.74 : x
  2. Step 2: Convert to fraction form
    261.44/360.36 = 214.74/x
  3. Step 3: Cross multiply
    261.44x = 360.36 × 214.74
  4. Step 4: Simplify right side
    261.44x = 77,383.71
  5. Step 5: Solve for x
    x = 77,383.71/261.44
  6. Step 6: Final answer
    x = 295.99

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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.