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Finding the Fourth Proportional to 555.42, 833.61 and 213.66

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Solution

The fourth proportional to 555.42, 833.61 and 213.66 is: 320.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.42 : 833.61 = 213.66 : x
  2. Step 2: Convert to fraction form
    555.42/833.61 = 213.66/x
  3. Step 3: Cross multiply
    555.42x = 833.61 × 213.66
  4. Step 4: Simplify right side
    555.42x = 178,109.11
  5. Step 5: Solve for x
    x = 178,109.11/555.42
  6. Step 6: Final answer
    x = 320.67

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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.