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Finding the Fourth Proportional to 418.76, 577.70 and 320.35

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Solution

The fourth proportional to 418.76, 577.70 and 320.35 is: 441.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.76 : 577.70 = 320.35 : x
  2. Step 2: Convert to fraction form
    418.76/577.70 = 320.35/x
  3. Step 3: Cross multiply
    418.76x = 577.70 × 320.35
  4. Step 4: Simplify right side
    418.76x = 185,065.55
  5. Step 5: Solve for x
    x = 185,065.55/418.76
  6. Step 6: Final answer
    x = 441.93

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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.