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Finding the Fourth Proportional to 145.90, 202.36 and 140.71

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Solution

The fourth proportional to 145.90, 202.36 and 140.71 is: 195.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.90 : 202.36 = 140.71 : x
  2. Step 2: Convert to fraction form
    145.90/202.36 = 140.71/x
  3. Step 3: Cross multiply
    145.90x = 202.36 × 140.71
  4. Step 4: Simplify right side
    145.90x = 28,474.08
  5. Step 5: Solve for x
    x = 28,474.08/145.90
  6. Step 6: Final answer
    x = 195.16

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.