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Finding the Fourth Proportional to 328.10, 460.30 and 328.10

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Solution

The fourth proportional to 328.10, 460.30 and 328.10 is: 460.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.10 : 460.30 = 328.10 : x
  2. Step 2: Convert to fraction form
    328.10/460.30 = 328.10/x
  3. Step 3: Cross multiply
    328.10x = 460.30 × 328.10
  4. Step 4: Simplify right side
    328.10x = 151,024.43
  5. Step 5: Solve for x
    x = 151,024.43/328.10
  6. Step 6: Final answer
    x = 460.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.