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Finding the Fourth Proportional to 377.90, 564.60 and 365.14

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Solution

The fourth proportional to 377.90, 564.60 and 365.14 is: 545.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.90 : 564.60 = 365.14 : x
  2. Step 2: Convert to fraction form
    377.90/564.60 = 365.14/x
  3. Step 3: Cross multiply
    377.90x = 564.60 × 365.14
  4. Step 4: Simplify right side
    377.90x = 206,158.04
  5. Step 5: Solve for x
    x = 206,158.04/377.90
  6. Step 6: Final answer
    x = 545.54

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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.