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Finding the Fourth Proportional to 345.06, 473.07 and 338.92

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Solution

The fourth proportional to 345.06, 473.07 and 338.92 is: 464.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.06 : 473.07 = 338.92 : x
  2. Step 2: Convert to fraction form
    345.06/473.07 = 338.92/x
  3. Step 3: Cross multiply
    345.06x = 473.07 × 338.92
  4. Step 4: Simplify right side
    345.06x = 160,332.97
  5. Step 5: Solve for x
    x = 160,332.97/345.06
  6. Step 6: Final answer
    x = 464.65

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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.