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Finding the Fourth Proportional to 370.80, 511.38 and 350.28

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Solution

The fourth proportional to 370.80, 511.38 and 350.28 is: 483.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.80 : 511.38 = 350.28 : x
  2. Step 2: Convert to fraction form
    370.80/511.38 = 350.28/x
  3. Step 3: Cross multiply
    370.80x = 511.38 × 350.28
  4. Step 4: Simplify right side
    370.80x = 179,126.19
  5. Step 5: Solve for x
    x = 179,126.19/370.80
  6. Step 6: Final answer
    x = 483.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.