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Finding the Fourth Proportional to 468.76, 703.36 and 180.40

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Solution

The fourth proportional to 468.76, 703.36 and 180.40 is: 270.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.76 : 703.36 = 180.40 : x
  2. Step 2: Convert to fraction form
    468.76/703.36 = 180.40/x
  3. Step 3: Cross multiply
    468.76x = 703.36 × 180.40
  4. Step 4: Simplify right side
    468.76x = 126,886.14
  5. Step 5: Solve for x
    x = 126,886.14/468.76
  6. Step 6: Final answer
    x = 270.68

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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.