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Finding the Fourth Proportional to 366.48, 505.64 and 209.08

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Solution

The fourth proportional to 366.48, 505.64 and 209.08 is: 288.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.48 : 505.64 = 209.08 : x
  2. Step 2: Convert to fraction form
    366.48/505.64 = 209.08/x
  3. Step 3: Cross multiply
    366.48x = 505.64 × 209.08
  4. Step 4: Simplify right side
    366.48x = 105,719.21
  5. Step 5: Solve for x
    x = 105,719.21/366.48
  6. Step 6: Final answer
    x = 288.47

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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.