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Finding the Fourth Proportional to 320.77, 442.60 and 194.71

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Solution

The fourth proportional to 320.77, 442.60 and 194.71 is: 268.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.77 : 442.60 = 194.71 : x
  2. Step 2: Convert to fraction form
    320.77/442.60 = 194.71/x
  3. Step 3: Cross multiply
    320.77x = 442.60 × 194.71
  4. Step 4: Simplify right side
    320.77x = 86,178.65
  5. Step 5: Solve for x
    x = 86,178.65/320.77
  6. Step 6: Final answer
    x = 268.66

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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.