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Finding the Fourth Proportional to 302.74, 417.57 and 204.58

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Solution

The fourth proportional to 302.74, 417.57 and 204.58 is: 282.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.74 : 417.57 = 204.58 : x
  2. Step 2: Convert to fraction form
    302.74/417.57 = 204.58/x
  3. Step 3: Cross multiply
    302.74x = 417.57 × 204.58
  4. Step 4: Simplify right side
    302.74x = 85,426.47
  5. Step 5: Solve for x
    x = 85,426.47/302.74
  6. Step 6: Final answer
    x = 282.18

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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.