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Finding the Fourth Proportional to 145.36, 200.41 and 123.18

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Solution

The fourth proportional to 145.36, 200.41 and 123.18 is: 169.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.36 : 200.41 = 123.18 : x
  2. Step 2: Convert to fraction form
    145.36/200.41 = 123.18/x
  3. Step 3: Cross multiply
    145.36x = 200.41 × 123.18
  4. Step 4: Simplify right side
    145.36x = 24,686.50
  5. Step 5: Solve for x
    x = 24,686.50/145.36
  6. Step 6: Final answer
    x = 169.84

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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.