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Finding the Fourth Proportional to 302.49, 417.60 and 204.42

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Solution

The fourth proportional to 302.49, 417.60 and 204.42 is: 282.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.49 : 417.60 = 204.42 : x
  2. Step 2: Convert to fraction form
    302.49/417.60 = 204.42/x
  3. Step 3: Cross multiply
    302.49x = 417.60 × 204.42
  4. Step 4: Simplify right side
    302.49x = 85,365.79
  5. Step 5: Solve for x
    x = 85,365.79/302.49
  6. Step 6: Final answer
    x = 282.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.