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Finding the Fourth Proportional to 291.40, 401.75 and 238.75

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Solution

The fourth proportional to 291.40, 401.75 and 238.75 is: 329.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.40 : 401.75 = 238.75 : x
  2. Step 2: Convert to fraction form
    291.40/401.75 = 238.75/x
  3. Step 3: Cross multiply
    291.40x = 401.75 × 238.75
  4. Step 4: Simplify right side
    291.40x = 95,916.40
  5. Step 5: Solve for x
    x = 95,916.40/291.40
  6. Step 6: Final answer
    x = 329.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.