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Finding the Fourth Proportional to 291.60, 436.72 and 147.44

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Solution

The fourth proportional to 291.60, 436.72 and 147.44 is: 220.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.60 : 436.72 = 147.44 : x
  2. Step 2: Convert to fraction form
    291.60/436.72 = 147.44/x
  3. Step 3: Cross multiply
    291.60x = 436.72 × 147.44
  4. Step 4: Simplify right side
    291.60x = 64,390.00
  5. Step 5: Solve for x
    x = 64,390.00/291.60
  6. Step 6: Final answer
    x = 220.82

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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.