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Finding the Fourth Proportional to 2,238.88, 3,358 and 904.80

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Solution

The fourth proportional to 2,238.88, 3,358 and 904.80 is: 1,357.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,238.88 : 3,358 = 904.80 : x
  2. Step 2: Convert to fraction form
    2,238.88/3,358 = 904.80/x
  3. Step 3: Cross multiply
    2,238.88x = 3,358 × 904.80
  4. Step 4: Simplify right side
    2,238.88x = 3,038,318.40
  5. Step 5: Solve for x
    x = 3,038,318.40/2,238.88
  6. Step 6: Final answer
    x = 1,357.07

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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.