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Finding the Fourth Proportional to 320.63, 478.20 and 272.19

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Solution

The fourth proportional to 320.63, 478.20 and 272.19 is: 405.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.63 : 478.20 = 272.19 : x
  2. Step 2: Convert to fraction form
    320.63/478.20 = 272.19/x
  3. Step 3: Cross multiply
    320.63x = 478.20 × 272.19
  4. Step 4: Simplify right side
    320.63x = 130,161.77
  5. Step 5: Solve for x
    x = 130,161.77/320.63
  6. Step 6: Final answer
    x = 405.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.