Home / 1,225.60-1,838.40-359.90

Finding the Fourth Proportional to 1,225.60, 1,838.40 and 359.90

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Solution

The fourth proportional to 1,225.60, 1,838.40 and 359.90 is: 539.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.60 : 1,838.40 = 359.90 : x
  2. Step 2: Convert to fraction form
    1,225.60/1,838.40 = 359.90/x
  3. Step 3: Cross multiply
    1,225.60x = 1,838.40 × 359.90
  4. Step 4: Simplify right side
    1,225.60x = 661,640.16
  5. Step 5: Solve for x
    x = 661,640.16/1,225.60
  6. Step 6: Final answer
    x = 539.85

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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.