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Finding the Fourth Proportional to 250.95, 374.82 and 214.50

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Solution

The fourth proportional to 250.95, 374.82 and 214.50 is: 320.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.95 : 374.82 = 214.50 : x
  2. Step 2: Convert to fraction form
    250.95/374.82 = 214.50/x
  3. Step 3: Cross multiply
    250.95x = 374.82 × 214.50
  4. Step 4: Simplify right side
    250.95x = 80,398.89
  5. Step 5: Solve for x
    x = 80,398.89/250.95
  6. Step 6: Final answer
    x = 320.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.