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Finding the Fourth Proportional to 320.16, 478.88 and 271.87

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Solution

The fourth proportional to 320.16, 478.88 and 271.87 is: 406.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.16 : 478.88 = 271.87 : x
  2. Step 2: Convert to fraction form
    320.16/478.88 = 271.87/x
  3. Step 3: Cross multiply
    320.16x = 478.88 × 271.87
  4. Step 4: Simplify right side
    320.16x = 130,191.57
  5. Step 5: Solve for x
    x = 130,191.57/320.16
  6. Step 6: Final answer
    x = 406.64

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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.