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Finding the Fourth Proportional to 195.64, 291.79 and 192.40

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Solution

The fourth proportional to 195.64, 291.79 and 192.40 is: 286.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.64 : 291.79 = 192.40 : x
  2. Step 2: Convert to fraction form
    195.64/291.79 = 192.40/x
  3. Step 3: Cross multiply
    195.64x = 291.79 × 192.40
  4. Step 4: Simplify right side
    195.64x = 56,140.40
  5. Step 5: Solve for x
    x = 56,140.40/195.64
  6. Step 6: Final answer
    x = 286.96

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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.