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Finding the Fourth Proportional to 336.68, 463.56 and 292.76

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Solution

The fourth proportional to 336.68, 463.56 and 292.76 is: 403.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.68 : 463.56 = 292.76 : x
  2. Step 2: Convert to fraction form
    336.68/463.56 = 292.76/x
  3. Step 3: Cross multiply
    336.68x = 463.56 × 292.76
  4. Step 4: Simplify right side
    336.68x = 135,711.83
  5. Step 5: Solve for x
    x = 135,711.83/336.68
  6. Step 6: Final answer
    x = 403.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.