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Finding the Fourth Proportional to 219.07, 301 and 209.53

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Solution

The fourth proportional to 219.07, 301 and 209.53 is: 287.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.07 : 301 = 209.53 : x
  2. Step 2: Convert to fraction form
    219.07/301 = 209.53/x
  3. Step 3: Cross multiply
    219.07x = 301 × 209.53
  4. Step 4: Simplify right side
    219.07x = 63,068.53
  5. Step 5: Solve for x
    x = 63,068.53/219.07
  6. Step 6: Final answer
    x = 287.89

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.