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Finding the Fourth Proportional to 234.04, 349 and 206.50

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Solution

The fourth proportional to 234.04, 349 and 206.50 is: 307.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.04 : 349 = 206.50 : x
  2. Step 2: Convert to fraction form
    234.04/349 = 206.50/x
  3. Step 3: Cross multiply
    234.04x = 349 × 206.50
  4. Step 4: Simplify right side
    234.04x = 72,068.50
  5. Step 5: Solve for x
    x = 72,068.50/234.04
  6. Step 6: Final answer
    x = 307.93

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.