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Finding the Fourth Proportional to 345.54, 476.37 and 247.12

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Solution

The fourth proportional to 345.54, 476.37 and 247.12 is: 340.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.54 : 476.37 = 247.12 : x
  2. Step 2: Convert to fraction form
    345.54/476.37 = 247.12/x
  3. Step 3: Cross multiply
    345.54x = 476.37 × 247.12
  4. Step 4: Simplify right side
    345.54x = 117,720.55
  5. Step 5: Solve for x
    x = 117,720.55/345.54
  6. Step 6: Final answer
    x = 340.69

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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.