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Finding the Fourth Proportional to 421.24, 581.70 and 378.04

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Solution

The fourth proportional to 421.24, 581.70 and 378.04 is: 522.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.24 : 581.70 = 378.04 : x
  2. Step 2: Convert to fraction form
    421.24/581.70 = 378.04/x
  3. Step 3: Cross multiply
    421.24x = 581.70 × 378.04
  4. Step 4: Simplify right side
    421.24x = 219,905.87
  5. Step 5: Solve for x
    x = 219,905.87/421.24
  6. Step 6: Final answer
    x = 522.04

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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.