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Finding the Fourth Proportional to 377.18, 565.38 and 214.52

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Solution

The fourth proportional to 377.18, 565.38 and 214.52 is: 321.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.18 : 565.38 = 214.52 : x
  2. Step 2: Convert to fraction form
    377.18/565.38 = 214.52/x
  3. Step 3: Cross multiply
    377.18x = 565.38 × 214.52
  4. Step 4: Simplify right side
    377.18x = 121,285.32
  5. Step 5: Solve for x
    x = 121,285.32/377.18
  6. Step 6: Final answer
    x = 321.56

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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.