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Finding the Fourth Proportional to 451.68, 676.98 and 232.08

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Solution

The fourth proportional to 451.68, 676.98 and 232.08 is: 347.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.68 : 676.98 = 232.08 : x
  2. Step 2: Convert to fraction form
    451.68/676.98 = 232.08/x
  3. Step 3: Cross multiply
    451.68x = 676.98 × 232.08
  4. Step 4: Simplify right side
    451.68x = 157,113.52
  5. Step 5: Solve for x
    x = 157,113.52/451.68
  6. Step 6: Final answer
    x = 347.84

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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.