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Finding the Fourth Proportional to 406.21, 610.66 and 314.95

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Solution

The fourth proportional to 406.21, 610.66 and 314.95 is: 473.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.21 : 610.66 = 314.95 : x
  2. Step 2: Convert to fraction form
    406.21/610.66 = 314.95/x
  3. Step 3: Cross multiply
    406.21x = 610.66 × 314.95
  4. Step 4: Simplify right side
    406.21x = 192,323.53
  5. Step 5: Solve for x
    x = 192,323.53/406.21
  6. Step 6: Final answer
    x = 473.46

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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.