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Finding the Fourth Proportional to 377.99, 569.15 and 275.97

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Solution

The fourth proportional to 377.99, 569.15 and 275.97 is: 415.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.99 : 569.15 = 275.97 : x
  2. Step 2: Convert to fraction form
    377.99/569.15 = 275.97/x
  3. Step 3: Cross multiply
    377.99x = 569.15 × 275.97
  4. Step 4: Simplify right side
    377.99x = 157,066.95
  5. Step 5: Solve for x
    x = 157,066.95/377.99
  6. Step 6: Final answer
    x = 415.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.