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Finding the Fourth Proportional to 145.46, 198.23 and 142.13

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Solution

The fourth proportional to 145.46, 198.23 and 142.13 is: 193.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.46 : 198.23 = 142.13 : x
  2. Step 2: Convert to fraction form
    145.46/198.23 = 142.13/x
  3. Step 3: Cross multiply
    145.46x = 198.23 × 142.13
  4. Step 4: Simplify right side
    145.46x = 28,174.21
  5. Step 5: Solve for x
    x = 28,174.21/145.46
  6. Step 6: Final answer
    x = 193.69

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.