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Finding the Fourth Proportional to 468.88, 645.84 and 370.42

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Solution

The fourth proportional to 468.88, 645.84 and 370.42 is: 510.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.88 : 645.84 = 370.42 : x
  2. Step 2: Convert to fraction form
    468.88/645.84 = 370.42/x
  3. Step 3: Cross multiply
    468.88x = 645.84 × 370.42
  4. Step 4: Simplify right side
    468.88x = 239,232.05
  5. Step 5: Solve for x
    x = 239,232.05/468.88
  6. Step 6: Final answer
    x = 510.22

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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.