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Finding the Fourth Proportional to 385.06, 573.87 and 376.82

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Solution

The fourth proportional to 385.06, 573.87 and 376.82 is: 561.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.06 : 573.87 = 376.82 : x
  2. Step 2: Convert to fraction form
    385.06/573.87 = 376.82/x
  3. Step 3: Cross multiply
    385.06x = 573.87 × 376.82
  4. Step 4: Simplify right side
    385.06x = 216,245.69
  5. Step 5: Solve for x
    x = 216,245.69/385.06
  6. Step 6: Final answer
    x = 561.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.