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Finding the Fourth Proportional to 336.17, 463.66 and 216.50

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Solution

The fourth proportional to 336.17, 463.66 and 216.50 is: 298.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.17 : 463.66 = 216.50 : x
  2. Step 2: Convert to fraction form
    336.17/463.66 = 216.50/x
  3. Step 3: Cross multiply
    336.17x = 463.66 × 216.50
  4. Step 4: Simplify right side
    336.17x = 100,379.53
  5. Step 5: Solve for x
    x = 100,379.53/336.17
  6. Step 6: Final answer
    x = 298.60

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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.