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Finding the Fourth Proportional to 302.18, 416.72 and 208.94

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Solution

The fourth proportional to 302.18, 416.72 and 208.94 is: 288.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.18 : 416.72 = 208.94 : x
  2. Step 2: Convert to fraction form
    302.18/416.72 = 208.94/x
  3. Step 3: Cross multiply
    302.18x = 416.72 × 208.94
  4. Step 4: Simplify right side
    302.18x = 87,069.48
  5. Step 5: Solve for x
    x = 87,069.48/302.18
  6. Step 6: Final answer
    x = 288.14

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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.