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Finding the Fourth Proportional to 903.63, 1,355.45 and 219.63

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Solution

The fourth proportional to 903.63, 1,355.45 and 219.63 is: 329.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.63 : 1,355.45 = 219.63 : x
  2. Step 2: Convert to fraction form
    903.63/1,355.45 = 219.63/x
  3. Step 3: Cross multiply
    903.63x = 1,355.45 × 219.63
  4. Step 4: Simplify right side
    903.63x = 297,697.48
  5. Step 5: Solve for x
    x = 297,697.48/903.63
  6. Step 6: Final answer
    x = 329.45

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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.