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Finding the Fourth Proportional to 555.33, 832.08 and 189.92

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Solution

The fourth proportional to 555.33, 832.08 and 189.92 is: 284.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.33 : 832.08 = 189.92 : x
  2. Step 2: Convert to fraction form
    555.33/832.08 = 189.92/x
  3. Step 3: Cross multiply
    555.33x = 832.08 × 189.92
  4. Step 4: Simplify right side
    555.33x = 158,023.76
  5. Step 5: Solve for x
    x = 158,023.76/555.33
  6. Step 6: Final answer
    x = 284.56

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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.