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Finding the Fourth Proportional to 210.13, 313.66 and 194.69

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Solution

The fourth proportional to 210.13, 313.66 and 194.69 is: 290.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.13 : 313.66 = 194.69 : x
  2. Step 2: Convert to fraction form
    210.13/313.66 = 194.69/x
  3. Step 3: Cross multiply
    210.13x = 313.66 × 194.69
  4. Step 4: Simplify right side
    210.13x = 61,066.47
  5. Step 5: Solve for x
    x = 61,066.47/210.13
  6. Step 6: Final answer
    x = 290.61

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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.