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Finding the Fourth Proportional to 258.52, 356.84 and 214.80

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Solution

The fourth proportional to 258.52, 356.84 and 214.80 is: 296.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.52 : 356.84 = 214.80 : x
  2. Step 2: Convert to fraction form
    258.52/356.84 = 214.80/x
  3. Step 3: Cross multiply
    258.52x = 356.84 × 214.80
  4. Step 4: Simplify right side
    258.52x = 76,649.23
  5. Step 5: Solve for x
    x = 76,649.23/258.52
  6. Step 6: Final answer
    x = 296.49

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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.