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Finding the Fourth Proportional to 302.13, 455.83 and 286.94

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Solution

The fourth proportional to 302.13, 455.83 and 286.94 is: 432.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.13 : 455.83 = 286.94 : x
  2. Step 2: Convert to fraction form
    302.13/455.83 = 286.94/x
  3. Step 3: Cross multiply
    302.13x = 455.83 × 286.94
  4. Step 4: Simplify right side
    302.13x = 130,796.28
  5. Step 5: Solve for x
    x = 130,796.28/302.13
  6. Step 6: Final answer
    x = 432.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.