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Finding the Fourth Proportional to 345.45, 473.89 and 335.04

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Solution

The fourth proportional to 345.45, 473.89 and 335.04 is: 459.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.45 : 473.89 = 335.04 : x
  2. Step 2: Convert to fraction form
    345.45/473.89 = 335.04/x
  3. Step 3: Cross multiply
    345.45x = 473.89 × 335.04
  4. Step 4: Simplify right side
    345.45x = 158,772.11
  5. Step 5: Solve for x
    x = 158,772.11/345.45
  6. Step 6: Final answer
    x = 459.61

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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.