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Finding the Fourth Proportional to 400.10, 596.86 and 369.50

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Solution

The fourth proportional to 400.10, 596.86 and 369.50 is: 551.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.10 : 596.86 = 369.50 : x
  2. Step 2: Convert to fraction form
    400.10/596.86 = 369.50/x
  3. Step 3: Cross multiply
    400.10x = 596.86 × 369.50
  4. Step 4: Simplify right side
    400.10x = 220,539.77
  5. Step 5: Solve for x
    x = 220,539.77/400.10
  6. Step 6: Final answer
    x = 551.21

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Why These Related Problems?

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