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Finding the Fourth Proportional to 345.62, 473.84 and 339.48

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Solution

The fourth proportional to 345.62, 473.84 and 339.48 is: 465.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.62 : 473.84 = 339.48 : x
  2. Step 2: Convert to fraction form
    345.62/473.84 = 339.48/x
  3. Step 3: Cross multiply
    345.62x = 473.84 × 339.48
  4. Step 4: Simplify right side
    345.62x = 160,860.69
  5. Step 5: Solve for x
    x = 160,860.69/345.62
  6. Step 6: Final answer
    x = 465.42

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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.