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Finding the Fourth Proportional to 302.16, 455.46 and 286.32

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Solution

The fourth proportional to 302.16, 455.46 and 286.32 is: 431.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.16 : 455.46 = 286.32 : x
  2. Step 2: Convert to fraction form
    302.16/455.46 = 286.32/x
  3. Step 3: Cross multiply
    302.16x = 455.46 × 286.32
  4. Step 4: Simplify right side
    302.16x = 130,407.31
  5. Step 5: Solve for x
    x = 130,407.31/302.16
  6. Step 6: Final answer
    x = 431.58

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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.