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Finding the Fourth Proportional to 554.45, 831.80 and 189.20

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Solution

The fourth proportional to 554.45, 831.80 and 189.20 is: 283.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.45 : 831.80 = 189.20 : x
  2. Step 2: Convert to fraction form
    554.45/831.80 = 189.20/x
  3. Step 3: Cross multiply
    554.45x = 831.80 × 189.20
  4. Step 4: Simplify right side
    554.45x = 157,379.11
  5. Step 5: Solve for x
    x = 157,379.11/554.45
  6. Step 6: Final answer
    x = 283.85

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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.