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Finding the Fourth Proportional to 468.21, 645.87 and 271.70

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Solution

The fourth proportional to 468.21, 645.87 and 271.70 is: 374.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.21 : 645.87 = 271.70 : x
  2. Step 2: Convert to fraction form
    468.21/645.87 = 271.70/x
  3. Step 3: Cross multiply
    468.21x = 645.87 × 271.70
  4. Step 4: Simplify right side
    468.21x = 175,482.88
  5. Step 5: Solve for x
    x = 175,482.88/468.21
  6. Step 6: Final answer
    x = 374.80

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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.