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Finding the Fourth Proportional to 364.19, 502.59 and 208.94

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Solution

The fourth proportional to 364.19, 502.59 and 208.94 is: 288.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.19 : 502.59 = 208.94 : x
  2. Step 2: Convert to fraction form
    364.19/502.59 = 208.94/x
  3. Step 3: Cross multiply
    364.19x = 502.59 × 208.94
  4. Step 4: Simplify right side
    364.19x = 105,011.15
  5. Step 5: Solve for x
    x = 105,011.15/364.19
  6. Step 6: Final answer
    x = 288.34

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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.