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Finding the Fourth Proportional to 330.60, 456.53 and 265.58

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Solution

The fourth proportional to 330.60, 456.53 and 265.58 is: 366.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.60 : 456.53 = 265.58 : x
  2. Step 2: Convert to fraction form
    330.60/456.53 = 265.58/x
  3. Step 3: Cross multiply
    330.60x = 456.53 × 265.58
  4. Step 4: Simplify right side
    330.60x = 121,245.24
  5. Step 5: Solve for x
    x = 121,245.24/330.60
  6. Step 6: Final answer
    x = 366.74

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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.