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Finding the Fourth Proportional to 219.13, 302.29 and 153.65

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Solution

The fourth proportional to 219.13, 302.29 and 153.65 is: 211.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.13 : 302.29 = 153.65 : x
  2. Step 2: Convert to fraction form
    219.13/302.29 = 153.65/x
  3. Step 3: Cross multiply
    219.13x = 302.29 × 153.65
  4. Step 4: Simplify right side
    219.13x = 46,446.86
  5. Step 5: Solve for x
    x = 46,446.86/219.13
  6. Step 6: Final answer
    x = 211.96

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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.