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Finding the Fourth Proportional to 329.93, 492.53 and 306.86

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Solution

The fourth proportional to 329.93, 492.53 and 306.86 is: 458.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.93 : 492.53 = 306.86 : x
  2. Step 2: Convert to fraction form
    329.93/492.53 = 306.86/x
  3. Step 3: Cross multiply
    329.93x = 492.53 × 306.86
  4. Step 4: Simplify right side
    329.93x = 151,139.64
  5. Step 5: Solve for x
    x = 151,139.64/329.93
  6. Step 6: Final answer
    x = 458.10

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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.