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Finding the Fourth Proportional to 368.23, 551.83 and 290.85

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Solution

The fourth proportional to 368.23, 551.83 and 290.85 is: 435.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.23 : 551.83 = 290.85 : x
  2. Step 2: Convert to fraction form
    368.23/551.83 = 290.85/x
  3. Step 3: Cross multiply
    368.23x = 551.83 × 290.85
  4. Step 4: Simplify right side
    368.23x = 160,499.76
  5. Step 5: Solve for x
    x = 160,499.76/368.23
  6. Step 6: Final answer
    x = 435.87

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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.