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Finding the Fourth Proportional to 376.94, 562.62 and 328.07

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Solution

The fourth proportional to 376.94, 562.62 and 328.07 is: 489.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.94 : 562.62 = 328.07 : x
  2. Step 2: Convert to fraction form
    376.94/562.62 = 328.07/x
  3. Step 3: Cross multiply
    376.94x = 562.62 × 328.07
  4. Step 4: Simplify right side
    376.94x = 184,575.93
  5. Step 5: Solve for x
    x = 184,575.93/376.94
  6. Step 6: Final answer
    x = 489.68

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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.