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Finding the Fourth Proportional to 345.93, 519.71 and 297.33

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Solution

The fourth proportional to 345.93, 519.71 and 297.33 is: 446.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.93 : 519.71 = 297.33 : x
  2. Step 2: Convert to fraction form
    345.93/519.71 = 297.33/x
  3. Step 3: Cross multiply
    345.93x = 519.71 × 297.33
  4. Step 4: Simplify right side
    345.93x = 154,523.89
  5. Step 5: Solve for x
    x = 154,523.89/345.93
  6. Step 6: Final answer
    x = 446.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.