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Finding the Fourth Proportional to 421.18, 581.49 and 377.44

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Solution

The fourth proportional to 421.18, 581.49 and 377.44 is: 521.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.18 : 581.49 = 377.44 : x
  2. Step 2: Convert to fraction form
    421.18/581.49 = 377.44/x
  3. Step 3: Cross multiply
    421.18x = 581.49 × 377.44
  4. Step 4: Simplify right side
    421.18x = 219,477.59
  5. Step 5: Solve for x
    x = 219,477.59/421.18
  6. Step 6: Final answer
    x = 521.10

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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.