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Finding the Fourth Proportional to 758.81, 1,138.23 and 210.98

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Solution

The fourth proportional to 758.81, 1,138.23 and 210.98 is: 316.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.81 : 1,138.23 = 210.98 : x
  2. Step 2: Convert to fraction form
    758.81/1,138.23 = 210.98/x
  3. Step 3: Cross multiply
    758.81x = 1,138.23 × 210.98
  4. Step 4: Simplify right side
    758.81x = 240,146.61
  5. Step 5: Solve for x
    x = 240,146.61/758.81
  6. Step 6: Final answer
    x = 316.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.