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Finding the Fourth Proportional to 374.49, 561.22 and 322.79

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Solution

The fourth proportional to 374.49, 561.22 and 322.79 is: 483.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.49 : 561.22 = 322.79 : x
  2. Step 2: Convert to fraction form
    374.49/561.22 = 322.79/x
  3. Step 3: Cross multiply
    374.49x = 561.22 × 322.79
  4. Step 4: Simplify right side
    374.49x = 181,152.59
  5. Step 5: Solve for x
    x = 181,152.59/374.49
  6. Step 6: Final answer
    x = 483.73

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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.