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Finding the Fourth Proportional to 145.87, 199.68 and 141.21

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Solution

The fourth proportional to 145.87, 199.68 and 141.21 is: 193.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.87 : 199.68 = 141.21 : x
  2. Step 2: Convert to fraction form
    145.87/199.68 = 141.21/x
  3. Step 3: Cross multiply
    145.87x = 199.68 × 141.21
  4. Step 4: Simplify right side
    145.87x = 28,196.81
  5. Step 5: Solve for x
    x = 28,196.81/145.87
  6. Step 6: Final answer
    x = 193.30

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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.