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Finding the Fourth Proportional to 377.77, 569.22 and 310.79

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Solution

The fourth proportional to 377.77, 569.22 and 310.79 is: 468.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.77 : 569.22 = 310.79 : x
  2. Step 2: Convert to fraction form
    377.77/569.22 = 310.79/x
  3. Step 3: Cross multiply
    377.77x = 569.22 × 310.79
  4. Step 4: Simplify right side
    377.77x = 176,907.24
  5. Step 5: Solve for x
    x = 176,907.24/377.77
  6. Step 6: Final answer
    x = 468.30

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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.