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Finding the Fourth Proportional to 219.19, 302.11 and 153.58

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Solution

The fourth proportional to 219.19, 302.11 and 153.58 is: 211.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.19 : 302.11 = 153.58 : x
  2. Step 2: Convert to fraction form
    219.19/302.11 = 153.58/x
  3. Step 3: Cross multiply
    219.19x = 302.11 × 153.58
  4. Step 4: Simplify right side
    219.19x = 46,398.05
  5. Step 5: Solve for x
    x = 46,398.05/219.19
  6. Step 6: Final answer
    x = 211.68

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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.