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Finding the Fourth Proportional to 329.60, 455.15 and 264.58

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Solution

The fourth proportional to 329.60, 455.15 and 264.58 is: 365.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.60 : 455.15 = 264.58 : x
  2. Step 2: Convert to fraction form
    329.60/455.15 = 264.58/x
  3. Step 3: Cross multiply
    329.60x = 455.15 × 264.58
  4. Step 4: Simplify right side
    329.60x = 120,423.59
  5. Step 5: Solve for x
    x = 120,423.59/329.60
  6. Step 6: Final answer
    x = 365.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.