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Finding the Fourth Proportional to 1,230.80, 1,846.68 and 365.36

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Solution

The fourth proportional to 1,230.80, 1,846.68 and 365.36 is: 548.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.80 : 1,846.68 = 365.36 : x
  2. Step 2: Convert to fraction form
    1,230.80/1,846.68 = 365.36/x
  3. Step 3: Cross multiply
    1,230.80x = 1,846.68 × 365.36
  4. Step 4: Simplify right side
    1,230.80x = 674,703.00
  5. Step 5: Solve for x
    x = 674,703.00/1,230.80
  6. Step 6: Final answer
    x = 548.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.