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Finding the Fourth Proportional to 468.23, 645.29 and 375.28

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Solution

The fourth proportional to 468.23, 645.29 and 375.28 is: 517.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.23 : 645.29 = 375.28 : x
  2. Step 2: Convert to fraction form
    468.23/645.29 = 375.28/x
  3. Step 3: Cross multiply
    468.23x = 645.29 × 375.28
  4. Step 4: Simplify right side
    468.23x = 242,165.37
  5. Step 5: Solve for x
    x = 242,165.37/468.23
  6. Step 6: Final answer
    x = 517.20

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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.