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Finding the Fourth Proportional to 307.14, 424 and 214.20

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Solution

The fourth proportional to 307.14, 424 and 214.20 is: 295.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.14 : 424 = 214.20 : x
  2. Step 2: Convert to fraction form
    307.14/424 = 214.20/x
  3. Step 3: Cross multiply
    307.14x = 424 × 214.20
  4. Step 4: Simplify right side
    307.14x = 90,820.80
  5. Step 5: Solve for x
    x = 90,820.80/307.14
  6. Step 6: Final answer
    x = 295.70

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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.