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Finding the Fourth Proportional to 356.50, 492.11 and 216.64

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Solution

The fourth proportional to 356.50, 492.11 and 216.64 is: 299.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.50 : 492.11 = 216.64 : x
  2. Step 2: Convert to fraction form
    356.50/492.11 = 216.64/x
  3. Step 3: Cross multiply
    356.50x = 492.11 × 216.64
  4. Step 4: Simplify right side
    356.50x = 106,612.48
  5. Step 5: Solve for x
    x = 106,612.48/356.50
  6. Step 6: Final answer
    x = 299.05

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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.