Home / 1,218.40-1,827.30-352.78

Finding the Fourth Proportional to 1,218.40, 1,827.30 and 352.78

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Solution

The fourth proportional to 1,218.40, 1,827.30 and 352.78 is: 529.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.40 : 1,827.30 = 352.78 : x
  2. Step 2: Convert to fraction form
    1,218.40/1,827.30 = 352.78/x
  3. Step 3: Cross multiply
    1,218.40x = 1,827.30 × 352.78
  4. Step 4: Simplify right side
    1,218.40x = 644,634.89
  5. Step 5: Solve for x
    x = 644,634.89/1,218.40
  6. Step 6: Final answer
    x = 529.08

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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.