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Finding the Fourth Proportional to 345.16, 515.22 and 319.78

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Solution

The fourth proportional to 345.16, 515.22 and 319.78 is: 477.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.16 : 515.22 = 319.78 : x
  2. Step 2: Convert to fraction form
    345.16/515.22 = 319.78/x
  3. Step 3: Cross multiply
    345.16x = 515.22 × 319.78
  4. Step 4: Simplify right side
    345.16x = 164,757.05
  5. Step 5: Solve for x
    x = 164,757.05/345.16
  6. Step 6: Final answer
    x = 477.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.