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Finding the Fourth Proportional to 145.59, 201.02 and 101.99

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Solution

The fourth proportional to 145.59, 201.02 and 101.99 is: 140.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.59 : 201.02 = 101.99 : x
  2. Step 2: Convert to fraction form
    145.59/201.02 = 101.99/x
  3. Step 3: Cross multiply
    145.59x = 201.02 × 101.99
  4. Step 4: Simplify right side
    145.59x = 20,501.02
  5. Step 5: Solve for x
    x = 20,501.02/145.59
  6. Step 6: Final answer
    x = 140.81

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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.