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Finding the Fourth Proportional to 304.68, 455.00 and 265.34

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Solution

The fourth proportional to 304.68, 455.00 and 265.34 is: 396.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.68 : 455.00 = 265.34 : x
  2. Step 2: Convert to fraction form
    304.68/455.00 = 265.34/x
  3. Step 3: Cross multiply
    304.68x = 455.00 × 265.34
  4. Step 4: Simplify right side
    304.68x = 120,731.40
  5. Step 5: Solve for x
    x = 120,731.40/304.68
  6. Step 6: Final answer
    x = 396.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.