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Finding the Fourth Proportional to 307.25, 424.01 and 169.25

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Solution

The fourth proportional to 307.25, 424.01 and 169.25 is: 233.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.25 : 424.01 = 169.25 : x
  2. Step 2: Convert to fraction form
    307.25/424.01 = 169.25/x
  3. Step 3: Cross multiply
    307.25x = 424.01 × 169.25
  4. Step 4: Simplify right side
    307.25x = 71,762.85
  5. Step 5: Solve for x
    x = 71,762.85/307.25
  6. Step 6: Final answer
    x = 233.57

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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.