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Finding the Fourth Proportional to 255.98, 353.62 and 214.50

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Solution

The fourth proportional to 255.98, 353.62 and 214.50 is: 296.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.98 : 353.62 = 214.50 : x
  2. Step 2: Convert to fraction form
    255.98/353.62 = 214.50/x
  3. Step 3: Cross multiply
    255.98x = 353.62 × 214.50
  4. Step 4: Simplify right side
    255.98x = 75,851.49
  5. Step 5: Solve for x
    x = 75,851.49/255.98
  6. Step 6: Final answer
    x = 296.32

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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.