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Finding the Fourth Proportional to 553.66, 830.18 and 188.30

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Solution

The fourth proportional to 553.66, 830.18 and 188.30 is: 282.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.66 : 830.18 = 188.30 : x
  2. Step 2: Convert to fraction form
    553.66/830.18 = 188.30/x
  3. Step 3: Cross multiply
    553.66x = 830.18 × 188.30
  4. Step 4: Simplify right side
    553.66x = 156,325.44
  5. Step 5: Solve for x
    x = 156,325.44/553.66
  6. Step 6: Final answer
    x = 282.35

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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.