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Finding the Fourth Proportional to 307.91, 425.13 and 214.85

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Solution

The fourth proportional to 307.91, 425.13 and 214.85 is: 296.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.91 : 425.13 = 214.85 : x
  2. Step 2: Convert to fraction form
    307.91/425.13 = 214.85/x
  3. Step 3: Cross multiply
    307.91x = 425.13 × 214.85
  4. Step 4: Simplify right side
    307.91x = 91,339.18
  5. Step 5: Solve for x
    x = 91,339.18/307.91
  6. Step 6: Final answer
    x = 296.64

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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.