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Finding the Fourth Proportional to 341.82, 509.90 and 320.86

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Solution

The fourth proportional to 341.82, 509.90 and 320.86 is: 478.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.82 : 509.90 = 320.86 : x
  2. Step 2: Convert to fraction form
    341.82/509.90 = 320.86/x
  3. Step 3: Cross multiply
    341.82x = 509.90 × 320.86
  4. Step 4: Simplify right side
    341.82x = 163,605.55
  5. Step 5: Solve for x
    x = 163,605.55/341.82
  6. Step 6: Final answer
    x = 478.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.