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Finding the Fourth Proportional to 302.20, 417 and 228.52

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Solution

The fourth proportional to 302.20, 417 and 228.52 is: 315.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.20 : 417 = 228.52 : x
  2. Step 2: Convert to fraction form
    302.20/417 = 228.52/x
  3. Step 3: Cross multiply
    302.20x = 417 × 228.52
  4. Step 4: Simplify right side
    302.20x = 95,292.84
  5. Step 5: Solve for x
    x = 95,292.84/302.20
  6. Step 6: Final answer
    x = 315.33

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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.