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Finding the Fourth Proportional to 1,101.35, 1,652.27 and 360.99

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Solution

The fourth proportional to 1,101.35, 1,652.27 and 360.99 is: 541.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.35 : 1,652.27 = 360.99 : x
  2. Step 2: Convert to fraction form
    1,101.35/1,652.27 = 360.99/x
  3. Step 3: Cross multiply
    1,101.35x = 1,652.27 × 360.99
  4. Step 4: Simplify right side
    1,101.35x = 596,453.85
  5. Step 5: Solve for x
    x = 596,453.85/1,101.35
  6. Step 6: Final answer
    x = 541.57

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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.