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Finding the Fourth Proportional to 145.62, 202.08 and 140.52

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Solution

The fourth proportional to 145.62, 202.08 and 140.52 is: 195.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.62 : 202.08 = 140.52 : x
  2. Step 2: Convert to fraction form
    145.62/202.08 = 140.52/x
  3. Step 3: Cross multiply
    145.62x = 202.08 × 140.52
  4. Step 4: Simplify right side
    145.62x = 28,396.28
  5. Step 5: Solve for x
    x = 28,396.28/145.62
  6. Step 6: Final answer
    x = 195.00

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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.