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Finding the Fourth Proportional to 262.02, 361.55 and 151.48

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Solution

The fourth proportional to 262.02, 361.55 and 151.48 is: 209.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.02 : 361.55 = 151.48 : x
  2. Step 2: Convert to fraction form
    262.02/361.55 = 151.48/x
  3. Step 3: Cross multiply
    262.02x = 361.55 × 151.48
  4. Step 4: Simplify right side
    262.02x = 54,767.07
  5. Step 5: Solve for x
    x = 54,767.07/262.02
  6. Step 6: Final answer
    x = 209.02

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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.