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Finding the Fourth Proportional to 291.24, 438.85 and 241.01

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Solution

The fourth proportional to 291.24, 438.85 and 241.01 is: 363.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.24 : 438.85 = 241.01 : x
  2. Step 2: Convert to fraction form
    291.24/438.85 = 241.01/x
  3. Step 3: Cross multiply
    291.24x = 438.85 × 241.01
  4. Step 4: Simplify right side
    291.24x = 105,764.44
  5. Step 5: Solve for x
    x = 105,764.44/291.24
  6. Step 6: Final answer
    x = 363.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.