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Finding the Fourth Proportional to 401.83, 555.21 and 319.66

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Solution

The fourth proportional to 401.83, 555.21 and 319.66 is: 441.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.83 : 555.21 = 319.66 : x
  2. Step 2: Convert to fraction form
    401.83/555.21 = 319.66/x
  3. Step 3: Cross multiply
    401.83x = 555.21 × 319.66
  4. Step 4: Simplify right side
    401.83x = 177,477.04
  5. Step 5: Solve for x
    x = 177,477.04/401.83
  6. Step 6: Final answer
    x = 441.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.