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Finding the Fourth Proportional to 304.08, 458.70 and 286.32

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Solution

The fourth proportional to 304.08, 458.70 and 286.32 is: 431.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.08 : 458.70 = 286.32 : x
  2. Step 2: Convert to fraction form
    304.08/458.70 = 286.32/x
  3. Step 3: Cross multiply
    304.08x = 458.70 × 286.32
  4. Step 4: Simplify right side
    304.08x = 131,334.98
  5. Step 5: Solve for x
    x = 131,334.98/304.08
  6. Step 6: Final answer
    x = 431.91

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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.