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Finding the Fourth Proportional to 250.88, 374.65 and 214.40

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Solution

The fourth proportional to 250.88, 374.65 and 214.40 is: 320.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.88 : 374.65 = 214.40 : x
  2. Step 2: Convert to fraction form
    250.88/374.65 = 214.40/x
  3. Step 3: Cross multiply
    250.88x = 374.65 × 214.40
  4. Step 4: Simplify right side
    250.88x = 80,324.96
  5. Step 5: Solve for x
    x = 80,324.96/250.88
  6. Step 6: Final answer
    x = 320.17

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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.