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Finding the Fourth Proportional to 456.81, 685.53 and 310.21

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Solution

The fourth proportional to 456.81, 685.53 and 310.21 is: 465.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.81 : 685.53 = 310.21 : x
  2. Step 2: Convert to fraction form
    456.81/685.53 = 310.21/x
  3. Step 3: Cross multiply
    456.81x = 685.53 × 310.21
  4. Step 4: Simplify right side
    456.81x = 212,656.55
  5. Step 5: Solve for x
    x = 212,656.55/456.81
  6. Step 6: Final answer
    x = 465.53

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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.