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Finding the Fourth Proportional to 145.95, 200.90 and 127.49

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Solution

The fourth proportional to 145.95, 200.90 and 127.49 is: 175.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.95 : 200.90 = 127.49 : x
  2. Step 2: Convert to fraction form
    145.95/200.90 = 127.49/x
  3. Step 3: Cross multiply
    145.95x = 200.90 × 127.49
  4. Step 4: Simplify right side
    145.95x = 25,611.10
  5. Step 5: Solve for x
    x = 25,611.10/145.95
  6. Step 6: Final answer
    x = 175.48

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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.