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Finding the Fourth Proportional to 341.16, 509.59 and 323.34

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Solution

The fourth proportional to 341.16, 509.59 and 323.34 is: 482.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.16 : 509.59 = 323.34 : x
  2. Step 2: Convert to fraction form
    341.16/509.59 = 323.34/x
  3. Step 3: Cross multiply
    341.16x = 509.59 × 323.34
  4. Step 4: Simplify right side
    341.16x = 164,770.83
  5. Step 5: Solve for x
    x = 164,770.83/341.16
  6. Step 6: Final answer
    x = 482.97

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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.