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Finding the Fourth Proportional to 145.69, 201.02 and 83.50

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Solution

The fourth proportional to 145.69, 201.02 and 83.50 is: 115.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.69 : 201.02 = 83.50 : x
  2. Step 2: Convert to fraction form
    145.69/201.02 = 83.50/x
  3. Step 3: Cross multiply
    145.69x = 201.02 × 83.50
  4. Step 4: Simplify right side
    145.69x = 16,784.25
  5. Step 5: Solve for x
    x = 16,784.25/145.69
  6. Step 6: Final answer
    x = 115.21

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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.