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Finding the Fourth Proportional to 341.63, 509.33 and 320.97

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Solution

The fourth proportional to 341.63, 509.33 and 320.97 is: 478.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.63 : 509.33 = 320.97 : x
  2. Step 2: Convert to fraction form
    341.63/509.33 = 320.97/x
  3. Step 3: Cross multiply
    341.63x = 509.33 × 320.97
  4. Step 4: Simplify right side
    341.63x = 163,478.05
  5. Step 5: Solve for x
    x = 163,478.05/341.63
  6. Step 6: Final answer
    x = 478.53

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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.