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Finding the Fourth Proportional to 336.42, 507.06 and 323.46

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Solution

The fourth proportional to 336.42, 507.06 and 323.46 is: 487.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.42 : 507.06 = 323.46 : x
  2. Step 2: Convert to fraction form
    336.42/507.06 = 323.46/x
  3. Step 3: Cross multiply
    336.42x = 507.06 × 323.46
  4. Step 4: Simplify right side
    336.42x = 164,013.63
  5. Step 5: Solve for x
    x = 164,013.63/336.42
  6. Step 6: Final answer
    x = 487.53

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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.