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Finding the Fourth Proportional to 307.98, 424.71 and 214.56

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Solution

The fourth proportional to 307.98, 424.71 and 214.56 is: 295.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.98 : 424.71 = 214.56 : x
  2. Step 2: Convert to fraction form
    307.98/424.71 = 214.56/x
  3. Step 3: Cross multiply
    307.98x = 424.71 × 214.56
  4. Step 4: Simplify right side
    307.98x = 91,125.78
  5. Step 5: Solve for x
    x = 91,125.78/307.98
  6. Step 6: Final answer
    x = 295.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.