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Finding the Fourth Proportional to 376.32, 562.86 and 322.86

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Solution

The fourth proportional to 376.32, 562.86 and 322.86 is: 482.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.32 : 562.86 = 322.86 : x
  2. Step 2: Convert to fraction form
    376.32/562.86 = 322.86/x
  3. Step 3: Cross multiply
    376.32x = 562.86 × 322.86
  4. Step 4: Simplify right side
    376.32x = 181,724.98
  5. Step 5: Solve for x
    x = 181,724.98/376.32
  6. Step 6: Final answer
    x = 482.90

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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.