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Finding the Fourth Proportional to 210.07, 290.01 and 194.68

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Solution

The fourth proportional to 210.07, 290.01 and 194.68 is: 268.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.07 : 290.01 = 194.68 : x
  2. Step 2: Convert to fraction form
    210.07/290.01 = 194.68/x
  3. Step 3: Cross multiply
    210.07x = 290.01 × 194.68
  4. Step 4: Simplify right side
    210.07x = 56,459.15
  5. Step 5: Solve for x
    x = 56,459.15/210.07
  6. Step 6: Final answer
    x = 268.76

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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.