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Finding the Fourth Proportional to 553.40, 830.09 and 188.14

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Solution

The fourth proportional to 553.40, 830.09 and 188.14 is: 282.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.40 : 830.09 = 188.14 : x
  2. Step 2: Convert to fraction form
    553.40/830.09 = 188.14/x
  3. Step 3: Cross multiply
    553.40x = 830.09 × 188.14
  4. Step 4: Simplify right side
    553.40x = 156,173.13
  5. Step 5: Solve for x
    x = 156,173.13/553.40
  6. Step 6: Final answer
    x = 282.21

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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.