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Finding the Fourth Proportional to 469.21, 647.64 and 272.80

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Solution

The fourth proportional to 469.21, 647.64 and 272.80 is: 376.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.21 : 647.64 = 272.80 : x
  2. Step 2: Convert to fraction form
    469.21/647.64 = 272.80/x
  3. Step 3: Cross multiply
    469.21x = 647.64 × 272.80
  4. Step 4: Simplify right side
    469.21x = 176,672.95
  5. Step 5: Solve for x
    x = 176,672.95/469.21
  6. Step 6: Final answer
    x = 376.54

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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.