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Finding the Fourth Proportional to 213, 294.08 and 144.12

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Solution

The fourth proportional to 213, 294.08 and 144.12 is: 198.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    213 : 294.08 = 144.12 : x
  2. Step 2: Convert to fraction form
    213/294.08 = 144.12/x
  3. Step 3: Cross multiply
    213x = 294.08 × 144.12
  4. Step 4: Simplify right side
    213x = 42,382.81
  5. Step 5: Solve for x
    x = 42,382.81/213
  6. Step 6: Final answer
    x = 198.98

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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.