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Finding the Fourth Proportional to 547.42, 755.42 and 311.38

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Solution

The fourth proportional to 547.42, 755.42 and 311.38 is: 429.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.42 : 755.42 = 311.38 : x
  2. Step 2: Convert to fraction form
    547.42/755.42 = 311.38/x
  3. Step 3: Cross multiply
    547.42x = 755.42 × 311.38
  4. Step 4: Simplify right side
    547.42x = 235,222.68
  5. Step 5: Solve for x
    x = 235,222.68/547.42
  6. Step 6: Final answer
    x = 429.69

Related Problems

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Double scale
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1.5x scale

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.