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Finding the Fourth Proportional to 291.66, 436.63 and 193.98

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Solution

The fourth proportional to 291.66, 436.63 and 193.98 is: 290.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.66 : 436.63 = 193.98 : x
  2. Step 2: Convert to fraction form
    291.66/436.63 = 193.98/x
  3. Step 3: Cross multiply
    291.66x = 436.63 × 193.98
  4. Step 4: Simplify right side
    291.66x = 84,697.49
  5. Step 5: Solve for x
    x = 84,697.49/291.66
  6. Step 6: Final answer
    x = 290.40

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