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Finding the Fourth Proportional to 307.85, 424.10 and 252.26

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Solution

The fourth proportional to 307.85, 424.10 and 252.26 is: 347.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.85 : 424.10 = 252.26 : x
  2. Step 2: Convert to fraction form
    307.85/424.10 = 252.26/x
  3. Step 3: Cross multiply
    307.85x = 424.10 × 252.26
  4. Step 4: Simplify right side
    307.85x = 106,980.08
  5. Step 5: Solve for x
    x = 106,980.08/307.85
  6. Step 6: Final answer
    x = 347.51

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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.