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Finding the Fourth Proportional to 336.34, 501.43 and 310.42

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Solution

The fourth proportional to 336.34, 501.43 and 310.42 is: 462.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.34 : 501.43 = 310.42 : x
  2. Step 2: Convert to fraction form
    336.34/501.43 = 310.42/x
  3. Step 3: Cross multiply
    336.34x = 501.43 × 310.42
  4. Step 4: Simplify right side
    336.34x = 155,653.90
  5. Step 5: Solve for x
    x = 155,653.90/336.34
  6. Step 6: Final answer
    x = 462.79

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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.