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Finding the Fourth Proportional to 555.25, 832.97 and 189.95

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Solution

The fourth proportional to 555.25, 832.97 and 189.95 is: 284.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.25 : 832.97 = 189.95 : x
  2. Step 2: Convert to fraction form
    555.25/832.97 = 189.95/x
  3. Step 3: Cross multiply
    555.25x = 832.97 × 189.95
  4. Step 4: Simplify right side
    555.25x = 158,222.65
  5. Step 5: Solve for x
    x = 158,222.65/555.25
  6. Step 6: Final answer
    x = 284.96

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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.