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Finding the Fourth Proportional to 210.36, 313.67 and 194.98

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Solution

The fourth proportional to 210.36, 313.67 and 194.98 is: 290.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.36 : 313.67 = 194.98 : x
  2. Step 2: Convert to fraction form
    210.36/313.67 = 194.98/x
  3. Step 3: Cross multiply
    210.36x = 313.67 × 194.98
  4. Step 4: Simplify right side
    210.36x = 61,159.38
  5. Step 5: Solve for x
    x = 61,159.38/210.36
  6. Step 6: Final answer
    x = 290.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.