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Finding the Fourth Proportional to 406.05, 608.90 and 117.42

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Solution

The fourth proportional to 406.05, 608.90 and 117.42 is: 176.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.05 : 608.90 = 117.42 : x
  2. Step 2: Convert to fraction form
    406.05/608.90 = 117.42/x
  3. Step 3: Cross multiply
    406.05x = 608.90 × 117.42
  4. Step 4: Simplify right side
    406.05x = 71,496.45
  5. Step 5: Solve for x
    x = 71,496.45/406.05
  6. Step 6: Final answer
    x = 176.08

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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.