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Finding the Fourth Proportional to 484.32, 727.02 and 311.40

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Solution

The fourth proportional to 484.32, 727.02 and 311.40 is: 467.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.32 : 727.02 = 311.40 : x
  2. Step 2: Convert to fraction form
    484.32/727.02 = 311.40/x
  3. Step 3: Cross multiply
    484.32x = 727.02 × 311.40
  4. Step 4: Simplify right side
    484.32x = 226,394.03
  5. Step 5: Solve for x
    x = 226,394.03/484.32
  6. Step 6: Final answer
    x = 467.45

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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.