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Finding the Fourth Proportional to 307.96, 424.62 and 252.52

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Solution

The fourth proportional to 307.96, 424.62 and 252.52 is: 348.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.96 : 424.62 = 252.52 : x
  2. Step 2: Convert to fraction form
    307.96/424.62 = 252.52/x
  3. Step 3: Cross multiply
    307.96x = 424.62 × 252.52
  4. Step 4: Simplify right side
    307.96x = 107,223.98
  5. Step 5: Solve for x
    x = 107,223.98/307.96
  6. Step 6: Final answer
    x = 348.18

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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.