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Finding the Fourth Proportional to 553.95, 831 and 188.84

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Solution

The fourth proportional to 553.95, 831 and 188.84 is: 283.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.95 : 831 = 188.84 : x
  2. Step 2: Convert to fraction form
    553.95/831 = 188.84/x
  3. Step 3: Cross multiply
    553.95x = 831 × 188.84
  4. Step 4: Simplify right side
    553.95x = 156,921.89
  5. Step 5: Solve for x
    x = 156,921.89/553.95
  6. Step 6: Final answer
    x = 283.28

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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.