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Finding the Fourth Proportional to 219.98, 303.42 and 145.28

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Solution

The fourth proportional to 219.98, 303.42 and 145.28 is: 200.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.98 : 303.42 = 145.28 : x
  2. Step 2: Convert to fraction form
    219.98/303.42 = 145.28/x
  3. Step 3: Cross multiply
    219.98x = 303.42 × 145.28
  4. Step 4: Simplify right side
    219.98x = 44,080.86
  5. Step 5: Solve for x
    x = 44,080.86/219.98
  6. Step 6: Final answer
    x = 200.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.