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Finding the Fourth Proportional to 145.85, 200.85 and 113.04

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Solution

The fourth proportional to 145.85, 200.85 and 113.04 is: 155.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.85 : 200.85 = 113.04 : x
  2. Step 2: Convert to fraction form
    145.85/200.85 = 113.04/x
  3. Step 3: Cross multiply
    145.85x = 200.85 × 113.04
  4. Step 4: Simplify right side
    145.85x = 22,704.08
  5. Step 5: Solve for x
    x = 22,704.08/145.85
  6. Step 6: Final answer
    x = 155.67

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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.