Home / 1,402.23-2,103.31-362.24

Finding the Fourth Proportional to 1,402.23, 2,103.31 and 362.24

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Solution

The fourth proportional to 1,402.23, 2,103.31 and 362.24 is: 543.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.23 : 2,103.31 = 362.24 : x
  2. Step 2: Convert to fraction form
    1,402.23/2,103.31 = 362.24/x
  3. Step 3: Cross multiply
    1,402.23x = 2,103.31 × 362.24
  4. Step 4: Simplify right side
    1,402.23x = 761,903.01
  5. Step 5: Solve for x
    x = 761,903.01/1,402.23
  6. Step 6: Final answer
    x = 543.35

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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.