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Finding the Fourth Proportional to 291.40, 436.56 and 195.02

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Solution

The fourth proportional to 291.40, 436.56 and 195.02 is: 292.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.40 : 436.56 = 195.02 : x
  2. Step 2: Convert to fraction form
    291.40/436.56 = 195.02/x
  3. Step 3: Cross multiply
    291.40x = 436.56 × 195.02
  4. Step 4: Simplify right side
    291.40x = 85,137.93
  5. Step 5: Solve for x
    x = 85,137.93/291.40
  6. Step 6: Final answer
    x = 292.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.