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Finding the Fourth Proportional to 148.02, 202.94 and 146.76

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Solution

The fourth proportional to 148.02, 202.94 and 146.76 is: 201.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.02 : 202.94 = 146.76 : x
  2. Step 2: Convert to fraction form
    148.02/202.94 = 146.76/x
  3. Step 3: Cross multiply
    148.02x = 202.94 × 146.76
  4. Step 4: Simplify right side
    148.02x = 29,782.74
  5. Step 5: Solve for x
    x = 29,782.74/148.02
  6. Step 6: Final answer
    x = 201.21

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.