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Finding the Fourth Proportional to 291.99, 438.05 and 145.82

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Solution

The fourth proportional to 291.99, 438.05 and 145.82 is: 218.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.99 : 438.05 = 145.82 : x
  2. Step 2: Convert to fraction form
    291.99/438.05 = 145.82/x
  3. Step 3: Cross multiply
    291.99x = 438.05 × 145.82
  4. Step 4: Simplify right side
    291.99x = 63,873.53
  5. Step 5: Solve for x
    x = 63,873.53/291.99
  6. Step 6: Final answer
    x = 218.75

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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.