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Finding the Fourth Proportional to 219.00, 301.93 and 153.39

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Solution

The fourth proportional to 219.00, 301.93 and 153.39 is: 211.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.00 : 301.93 = 153.39 : x
  2. Step 2: Convert to fraction form
    219.00/301.93 = 153.39/x
  3. Step 3: Cross multiply
    219.00x = 301.93 × 153.39
  4. Step 4: Simplify right side
    219.00x = 46,313.79
  5. Step 5: Solve for x
    x = 46,313.79/219.00
  6. Step 6: Final answer
    x = 211.47

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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.