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Finding the Fourth Proportional to 291.60, 436.18 and 175.78

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Solution

The fourth proportional to 291.60, 436.18 and 175.78 is: 262.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.60 : 436.18 = 175.78 : x
  2. Step 2: Convert to fraction form
    291.60/436.18 = 175.78/x
  3. Step 3: Cross multiply
    291.60x = 436.18 × 175.78
  4. Step 4: Simplify right side
    291.60x = 76,671.72
  5. Step 5: Solve for x
    x = 76,671.72/291.60
  6. Step 6: Final answer
    x = 262.93

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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.