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Finding the Fourth Proportional to 345.33, 473.18 and 344.12

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Solution

The fourth proportional to 345.33, 473.18 and 344.12 is: 471.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.33 : 473.18 = 344.12 : x
  2. Step 2: Convert to fraction form
    345.33/473.18 = 344.12/x
  3. Step 3: Cross multiply
    345.33x = 473.18 × 344.12
  4. Step 4: Simplify right side
    345.33x = 162,826.62
  5. Step 5: Solve for x
    x = 162,826.62/345.33
  6. Step 6: Final answer
    x = 471.51

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.