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Finding the Fourth Proportional to 377.83, 569.31 and 310.85

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Solution

The fourth proportional to 377.83, 569.31 and 310.85 is: 468.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.83 : 569.31 = 310.85 : x
  2. Step 2: Convert to fraction form
    377.83/569.31 = 310.85/x
  3. Step 3: Cross multiply
    377.83x = 569.31 × 310.85
  4. Step 4: Simplify right side
    377.83x = 176,970.01
  5. Step 5: Solve for x
    x = 176,970.01/377.83
  6. Step 6: Final answer
    x = 468.39

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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.