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Finding the Fourth Proportional to 145.10, 200.08 and 141.75

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Solution

The fourth proportional to 145.10, 200.08 and 141.75 is: 195.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.10 : 200.08 = 141.75 : x
  2. Step 2: Convert to fraction form
    145.10/200.08 = 141.75/x
  3. Step 3: Cross multiply
    145.10x = 200.08 × 141.75
  4. Step 4: Simplify right side
    145.10x = 28,361.34
  5. Step 5: Solve for x
    x = 28,361.34/145.10
  6. Step 6: Final answer
    x = 195.46

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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.