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Finding the Fourth Proportional to 210.93, 314.79 and 194.69

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Solution

The fourth proportional to 210.93, 314.79 and 194.69 is: 290.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.93 : 314.79 = 194.69 : x
  2. Step 2: Convert to fraction form
    210.93/314.79 = 194.69/x
  3. Step 3: Cross multiply
    210.93x = 314.79 × 194.69
  4. Step 4: Simplify right side
    210.93x = 61,284.89
  5. Step 5: Solve for x
    x = 61,284.89/210.93
  6. Step 6: Final answer
    x = 290.55

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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.