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Finding the Fourth Proportional to 291.94, 437.79 and 145.64

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Solution

The fourth proportional to 291.94, 437.79 and 145.64 is: 218.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.94 : 437.79 = 145.64 : x
  2. Step 2: Convert to fraction form
    291.94/437.79 = 145.64/x
  3. Step 3: Cross multiply
    291.94x = 437.79 × 145.64
  4. Step 4: Simplify right side
    291.94x = 63,761.38
  5. Step 5: Solve for x
    x = 63,761.38/291.94
  6. Step 6: Final answer
    x = 218.41

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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.