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Finding the Fourth Proportional to 369, 553.56 and 206.86

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Solution

The fourth proportional to 369, 553.56 and 206.86 is: 310.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    369 : 553.56 = 206.86 : x
  2. Step 2: Convert to fraction form
    369/553.56 = 206.86/x
  3. Step 3: Cross multiply
    369x = 553.56 × 206.86
  4. Step 4: Simplify right side
    369x = 114,509.42
  5. Step 5: Solve for x
    x = 114,509.42/369
  6. Step 6: Final answer
    x = 310.32

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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.