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Finding the Fourth Proportional to 328.40, 475.70 and 328.40

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Solution

The fourth proportional to 328.40, 475.70 and 328.40 is: 475.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.40 : 475.70 = 328.40 : x
  2. Step 2: Convert to fraction form
    328.40/475.70 = 328.40/x
  3. Step 3: Cross multiply
    328.40x = 475.70 × 328.40
  4. Step 4: Simplify right side
    328.40x = 156,219.88
  5. Step 5: Solve for x
    x = 156,219.88/328.40
  6. Step 6: Final answer
    x = 475.70

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.