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Finding the Fourth Proportional to 340.14, 512.40 and 323.16

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Solution

The fourth proportional to 340.14, 512.40 and 323.16 is: 486.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.14 : 512.40 = 323.16 : x
  2. Step 2: Convert to fraction form
    340.14/512.40 = 323.16/x
  3. Step 3: Cross multiply
    340.14x = 512.40 × 323.16
  4. Step 4: Simplify right side
    340.14x = 165,587.18
  5. Step 5: Solve for x
    x = 165,587.18/340.14
  6. Step 6: Final answer
    x = 486.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.