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Finding the Fourth Proportional to 302.79, 417.67 and 192.07

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Solution

The fourth proportional to 302.79, 417.67 and 192.07 is: 264.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.79 : 417.67 = 192.07 : x
  2. Step 2: Convert to fraction form
    302.79/417.67 = 192.07/x
  3. Step 3: Cross multiply
    302.79x = 417.67 × 192.07
  4. Step 4: Simplify right side
    302.79x = 80,221.88
  5. Step 5: Solve for x
    x = 80,221.88/302.79
  6. Step 6: Final answer
    x = 264.94

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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.