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Finding the Fourth Proportional to 345.49, 476.61 and 252.08

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Solution

The fourth proportional to 345.49, 476.61 and 252.08 is: 347.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.49 : 476.61 = 252.08 : x
  2. Step 2: Convert to fraction form
    345.49/476.61 = 252.08/x
  3. Step 3: Cross multiply
    345.49x = 476.61 × 252.08
  4. Step 4: Simplify right side
    345.49x = 120,143.85
  5. Step 5: Solve for x
    x = 120,143.85/345.49
  6. Step 6: Final answer
    x = 347.75

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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.