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Finding the Fourth Proportional to 219.51, 302.84 and 140.87

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Solution

The fourth proportional to 219.51, 302.84 and 140.87 is: 194.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.51 : 302.84 = 140.87 : x
  2. Step 2: Convert to fraction form
    219.51/302.84 = 140.87/x
  3. Step 3: Cross multiply
    219.51x = 302.84 × 140.87
  4. Step 4: Simplify right side
    219.51x = 42,661.65
  5. Step 5: Solve for x
    x = 42,661.65/219.51
  6. Step 6: Final answer
    x = 194.35

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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.