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Finding the Fourth Proportional to 345.25, 514.83 and 320.14

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Solution

The fourth proportional to 345.25, 514.83 and 320.14 is: 477.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.25 : 514.83 = 320.14 : x
  2. Step 2: Convert to fraction form
    345.25/514.83 = 320.14/x
  3. Step 3: Cross multiply
    345.25x = 514.83 × 320.14
  4. Step 4: Simplify right side
    345.25x = 164,816.88
  5. Step 5: Solve for x
    x = 164,816.88/345.25
  6. Step 6: Final answer
    x = 477.38

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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.