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Finding the Fourth Proportional to 419.34, 577.94 and 320.90

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Solution

The fourth proportional to 419.34, 577.94 and 320.90 is: 442.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.34 : 577.94 = 320.90 : x
  2. Step 2: Convert to fraction form
    419.34/577.94 = 320.90/x
  3. Step 3: Cross multiply
    419.34x = 577.94 × 320.90
  4. Step 4: Simplify right side
    419.34x = 185,460.95
  5. Step 5: Solve for x
    x = 185,460.95/419.34
  6. Step 6: Final answer
    x = 442.27

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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.