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Finding the Fourth Proportional to 361.44, 538.50 and 342.72

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Solution

The fourth proportional to 361.44, 538.50 and 342.72 is: 510.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.44 : 538.50 = 342.72 : x
  2. Step 2: Convert to fraction form
    361.44/538.50 = 342.72/x
  3. Step 3: Cross multiply
    361.44x = 538.50 × 342.72
  4. Step 4: Simplify right side
    361.44x = 184,554.72
  5. Step 5: Solve for x
    x = 184,554.72/361.44
  6. Step 6: Final answer
    x = 510.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.