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Finding the Fourth Proportional to 145.15, 200.38 and 95.38

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Solution

The fourth proportional to 145.15, 200.38 and 95.38 is: 131.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.15 : 200.38 = 95.38 : x
  2. Step 2: Convert to fraction form
    145.15/200.38 = 95.38/x
  3. Step 3: Cross multiply
    145.15x = 200.38 × 95.38
  4. Step 4: Simplify right side
    145.15x = 19,112.24
  5. Step 5: Solve for x
    x = 19,112.24/145.15
  6. Step 6: Final answer
    x = 131.67

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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.