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Finding the Fourth Proportional to 418.79, 577.98 and 320.37

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Solution

The fourth proportional to 418.79, 577.98 and 320.37 is: 442.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.79 : 577.98 = 320.37 : x
  2. Step 2: Convert to fraction form
    418.79/577.98 = 320.37/x
  3. Step 3: Cross multiply
    418.79x = 577.98 × 320.37
  4. Step 4: Simplify right side
    418.79x = 185,167.45
  5. Step 5: Solve for x
    x = 185,167.45/418.79
  6. Step 6: Final answer
    x = 442.15

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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.