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Finding the Fourth Proportional to 356.94, 492.30 and 217.08

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Solution

The fourth proportional to 356.94, 492.30 and 217.08 is: 299.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.94 : 492.30 = 217.08 : x
  2. Step 2: Convert to fraction form
    356.94/492.30 = 217.08/x
  3. Step 3: Cross multiply
    356.94x = 492.30 × 217.08
  4. Step 4: Simplify right side
    356.94x = 106,868.48
  5. Step 5: Solve for x
    x = 106,868.48/356.94
  6. Step 6: Final answer
    x = 299.40

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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.