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Finding the Fourth Proportional to 145.34, 199.37 and 142.31

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Solution

The fourth proportional to 145.34, 199.37 and 142.31 is: 195.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.34 : 199.37 = 142.31 : x
  2. Step 2: Convert to fraction form
    145.34/199.37 = 142.31/x
  3. Step 3: Cross multiply
    145.34x = 199.37 × 142.31
  4. Step 4: Simplify right side
    145.34x = 28,372.28
  5. Step 5: Solve for x
    x = 28,372.28/145.34
  6. Step 6: Final answer
    x = 195.21

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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.