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Finding the Fourth Proportional to 406.32, 610.04 and 211.45

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Solution

The fourth proportional to 406.32, 610.04 and 211.45 is: 317.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.32 : 610.04 = 211.45 : x
  2. Step 2: Convert to fraction form
    406.32/610.04 = 211.45/x
  3. Step 3: Cross multiply
    406.32x = 610.04 × 211.45
  4. Step 4: Simplify right side
    406.32x = 128,992.96
  5. Step 5: Solve for x
    x = 128,992.96/406.32
  6. Step 6: Final answer
    x = 317.47

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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.