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Finding the Fourth Proportional to 145.02, 201.06 and 140.01

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Solution

The fourth proportional to 145.02, 201.06 and 140.01 is: 194.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.02 : 201.06 = 140.01 : x
  2. Step 2: Convert to fraction form
    145.02/201.06 = 140.01/x
  3. Step 3: Cross multiply
    145.02x = 201.06 × 140.01
  4. Step 4: Simplify right side
    145.02x = 28,150.41
  5. Step 5: Solve for x
    x = 28,150.41/145.02
  6. Step 6: Final answer
    x = 194.11

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.