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Finding the Fourth Proportional to 373.80, 515.94 and 208.08

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Solution

The fourth proportional to 373.80, 515.94 and 208.08 is: 287.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.80 : 515.94 = 208.08 : x
  2. Step 2: Convert to fraction form
    373.80/515.94 = 208.08/x
  3. Step 3: Cross multiply
    373.80x = 515.94 × 208.08
  4. Step 4: Simplify right side
    373.80x = 107,356.01
  5. Step 5: Solve for x
    x = 107,356.01/373.80
  6. Step 6: Final answer
    x = 287.20

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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.