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Finding the Fourth Proportional to 1,102.06, 1,653.09 and 280.34

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Solution

The fourth proportional to 1,102.06, 1,653.09 and 280.34 is: 420.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.06 : 1,653.09 = 280.34 : x
  2. Step 2: Convert to fraction form
    1,102.06/1,653.09 = 280.34/x
  3. Step 3: Cross multiply
    1,102.06x = 1,653.09 × 280.34
  4. Step 4: Simplify right side
    1,102.06x = 463,418.99
  5. Step 5: Solve for x
    x = 463,418.99/1,102.06
  6. Step 6: Final answer
    x = 420.50

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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.