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Finding the Fourth Proportional to 149.04, 224.82 and 142.02

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Solution

The fourth proportional to 149.04, 224.82 and 142.02 is: 214.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.04 : 224.82 = 142.02 : x
  2. Step 2: Convert to fraction form
    149.04/224.82 = 142.02/x
  3. Step 3: Cross multiply
    149.04x = 224.82 × 142.02
  4. Step 4: Simplify right side
    149.04x = 31,928.94
  5. Step 5: Solve for x
    x = 31,928.94/149.04
  6. Step 6: Final answer
    x = 214.23

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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.