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Finding the Fourth Proportional to 457.04, 684.53 and 213.05

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Solution

The fourth proportional to 457.04, 684.53 and 213.05 is: 319.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.04 : 684.53 = 213.05 : x
  2. Step 2: Convert to fraction form
    457.04/684.53 = 213.05/x
  3. Step 3: Cross multiply
    457.04x = 684.53 × 213.05
  4. Step 4: Simplify right side
    457.04x = 145,834.63
  5. Step 5: Solve for x
    x = 145,834.63/457.04
  6. Step 6: Final answer
    x = 319.09

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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.