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Finding the Fourth Proportional to 378.77, 567.89 and 183.70

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Solution

The fourth proportional to 378.77, 567.89 and 183.70 is: 275.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.77 : 567.89 = 183.70 : x
  2. Step 2: Convert to fraction form
    378.77/567.89 = 183.70/x
  3. Step 3: Cross multiply
    378.77x = 567.89 × 183.70
  4. Step 4: Simplify right side
    378.77x = 104,317.64
  5. Step 5: Solve for x
    x = 104,317.64/378.77
  6. Step 6: Final answer
    x = 275.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.