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Finding the Fourth Proportional to 376.71, 565.26 and 230.77

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Solution

The fourth proportional to 376.71, 565.26 and 230.77 is: 346.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.71 : 565.26 = 230.77 : x
  2. Step 2: Convert to fraction form
    376.71/565.26 = 230.77/x
  3. Step 3: Cross multiply
    376.71x = 565.26 × 230.77
  4. Step 4: Simplify right side
    376.71x = 130,445.05
  5. Step 5: Solve for x
    x = 130,445.05/376.71
  6. Step 6: Final answer
    x = 346.27

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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.