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Finding the Fourth Proportional to 553.51, 830.87 and 229.11

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Solution

The fourth proportional to 553.51, 830.87 and 229.11 is: 343.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.51 : 830.87 = 229.11 : x
  2. Step 2: Convert to fraction form
    553.51/830.87 = 229.11/x
  3. Step 3: Cross multiply
    553.51x = 830.87 × 229.11
  4. Step 4: Simplify right side
    553.51x = 190,360.63
  5. Step 5: Solve for x
    x = 190,360.63/553.51
  6. Step 6: Final answer
    x = 343.92

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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.