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Finding the Fourth Proportional to 591.51, 887.16 and 201.54

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Solution

The fourth proportional to 591.51, 887.16 and 201.54 is: 302.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.51 : 887.16 = 201.54 : x
  2. Step 2: Convert to fraction form
    591.51/887.16 = 201.54/x
  3. Step 3: Cross multiply
    591.51x = 887.16 × 201.54
  4. Step 4: Simplify right side
    591.51x = 178,792.78
  5. Step 5: Solve for x
    x = 178,792.78/591.51
  6. Step 6: Final answer
    x = 302.26

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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.