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Finding the Fourth Proportional to 305.08, 457.26 and 213.64

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Solution

The fourth proportional to 305.08, 457.26 and 213.64 is: 320.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.08 : 457.26 = 213.64 : x
  2. Step 2: Convert to fraction form
    305.08/457.26 = 213.64/x
  3. Step 3: Cross multiply
    305.08x = 457.26 × 213.64
  4. Step 4: Simplify right side
    305.08x = 97,689.03
  5. Step 5: Solve for x
    x = 97,689.03/305.08
  6. Step 6: Final answer
    x = 320.21

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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.