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Finding the Fourth Proportional to 304.79, 455.20 and 263.75

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Solution

The fourth proportional to 304.79, 455.20 and 263.75 is: 393.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.79 : 455.20 = 263.75 : x
  2. Step 2: Convert to fraction form
    304.79/455.20 = 263.75/x
  3. Step 3: Cross multiply
    304.79x = 455.20 × 263.75
  4. Step 4: Simplify right side
    304.79x = 120,056.06
  5. Step 5: Solve for x
    x = 120,056.06/304.79
  6. Step 6: Final answer
    x = 393.90

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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.