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Finding the Fourth Proportional to 302.69, 417.75 and 192.17

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Solution

The fourth proportional to 302.69, 417.75 and 192.17 is: 265.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.69 : 417.75 = 192.17 : x
  2. Step 2: Convert to fraction form
    302.69/417.75 = 192.17/x
  3. Step 3: Cross multiply
    302.69x = 417.75 × 192.17
  4. Step 4: Simplify right side
    302.69x = 80,279.02
  5. Step 5: Solve for x
    x = 80,279.02/302.69
  6. Step 6: Final answer
    x = 265.22

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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.