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Finding the Fourth Proportional to 145.01, 199.97 and 95.23

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Solution

The fourth proportional to 145.01, 199.97 and 95.23 is: 131.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.01 : 199.97 = 95.23 : x
  2. Step 2: Convert to fraction form
    145.01/199.97 = 95.23/x
  3. Step 3: Cross multiply
    145.01x = 199.97 × 95.23
  4. Step 4: Simplify right side
    145.01x = 19,042.17
  5. Step 5: Solve for x
    x = 19,042.17/145.01
  6. Step 6: Final answer
    x = 131.32

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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.