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Finding the Fourth Proportional to 145.95, 200.23 and 135.15

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Solution

The fourth proportional to 145.95, 200.23 and 135.15 is: 185.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.95 : 200.23 = 135.15 : x
  2. Step 2: Convert to fraction form
    145.95/200.23 = 135.15/x
  3. Step 3: Cross multiply
    145.95x = 200.23 × 135.15
  4. Step 4: Simplify right side
    145.95x = 27,060.75
  5. Step 5: Solve for x
    x = 27,060.75/145.95
  6. Step 6: Final answer
    x = 185.41

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.