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Finding the Fourth Proportional to 145.37, 200.61 and 79.87

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Solution

The fourth proportional to 145.37, 200.61 and 79.87 is: 110.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.37 : 200.61 = 79.87 : x
  2. Step 2: Convert to fraction form
    145.37/200.61 = 79.87/x
  3. Step 3: Cross multiply
    145.37x = 200.61 × 79.87
  4. Step 4: Simplify right side
    145.37x = 16,021.32
  5. Step 5: Solve for x
    x = 16,021.32/145.37
  6. Step 6: Final answer
    x = 110.21

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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.