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Finding the Fourth Proportional to 145.21, 200.52 and 137.53

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Solution

The fourth proportional to 145.21, 200.52 and 137.53 is: 189.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.21 : 200.52 = 137.53 : x
  2. Step 2: Convert to fraction form
    145.21/200.52 = 137.53/x
  3. Step 3: Cross multiply
    145.21x = 200.52 × 137.53
  4. Step 4: Simplify right side
    145.21x = 27,576.83
  5. Step 5: Solve for x
    x = 27,576.83/145.21
  6. Step 6: Final answer
    x = 189.92

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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.