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Finding the Fourth Proportional to 145.77, 202.56 and 144.29

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Solution

The fourth proportional to 145.77, 202.56 and 144.29 is: 200.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.77 : 202.56 = 144.29 : x
  2. Step 2: Convert to fraction form
    145.77/202.56 = 144.29/x
  3. Step 3: Cross multiply
    145.77x = 202.56 × 144.29
  4. Step 4: Simplify right side
    145.77x = 29,226.37
  5. Step 5: Solve for x
    x = 29,226.37/145.77
  6. Step 6: Final answer
    x = 200.50

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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.