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Finding the Fourth Proportional to 291.56, 437.54 and 147.38

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Solution

The fourth proportional to 291.56, 437.54 and 147.38 is: 221.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.56 : 437.54 = 147.38 : x
  2. Step 2: Convert to fraction form
    291.56/437.54 = 147.38/x
  3. Step 3: Cross multiply
    291.56x = 437.54 × 147.38
  4. Step 4: Simplify right side
    291.56x = 64,481.72
  5. Step 5: Solve for x
    x = 64,481.72/291.56
  6. Step 6: Final answer
    x = 221.16

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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.