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Finding the Fourth Proportional to 553.10, 830.05 and 228.70

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Solution

The fourth proportional to 553.10, 830.05 and 228.70 is: 343.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.10 : 830.05 = 228.70 : x
  2. Step 2: Convert to fraction form
    553.10/830.05 = 228.70/x
  3. Step 3: Cross multiply
    553.10x = 830.05 × 228.70
  4. Step 4: Simplify right side
    553.10x = 189,832.44
  5. Step 5: Solve for x
    x = 189,832.44/553.10
  6. Step 6: Final answer
    x = 343.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.