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Finding the Fourth Proportional to 376.91, 565.10 and 214.37

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Solution

The fourth proportional to 376.91, 565.10 and 214.37 is: 321.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.91 : 565.10 = 214.37 : x
  2. Step 2: Convert to fraction form
    376.91/565.10 = 214.37/x
  3. Step 3: Cross multiply
    376.91x = 565.10 × 214.37
  4. Step 4: Simplify right side
    376.91x = 121,139.42
  5. Step 5: Solve for x
    x = 121,139.42/376.91
  6. Step 6: Final answer
    x = 321.40

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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.