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Finding the Fourth Proportional to 417.23, 625.90 and 128.67

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Solution

The fourth proportional to 417.23, 625.90 and 128.67 is: 193.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.23 : 625.90 = 128.67 : x
  2. Step 2: Convert to fraction form
    417.23/625.90 = 128.67/x
  3. Step 3: Cross multiply
    417.23x = 625.90 × 128.67
  4. Step 4: Simplify right side
    417.23x = 80,536.01
  5. Step 5: Solve for x
    x = 80,536.01/417.23
  6. Step 6: Final answer
    x = 193.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.