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Finding the Fourth Proportional to 453.48, 626.09 and 311.93

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Solution

The fourth proportional to 453.48, 626.09 and 311.93 is: 430.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.48 : 626.09 = 311.93 : x
  2. Step 2: Convert to fraction form
    453.48/626.09 = 311.93/x
  3. Step 3: Cross multiply
    453.48x = 626.09 × 311.93
  4. Step 4: Simplify right side
    453.48x = 195,293.91
  5. Step 5: Solve for x
    x = 195,293.91/453.48
  6. Step 6: Final answer
    x = 430.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.