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Finding the Fourth Proportional to 376.06, 561.62 and 315.24

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Solution

The fourth proportional to 376.06, 561.62 and 315.24 is: 470.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.06 : 561.62 = 315.24 : x
  2. Step 2: Convert to fraction form
    376.06/561.62 = 315.24/x
  3. Step 3: Cross multiply
    376.06x = 561.62 × 315.24
  4. Step 4: Simplify right side
    376.06x = 177,045.09
  5. Step 5: Solve for x
    x = 177,045.09/376.06
  6. Step 6: Final answer
    x = 470.79

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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.