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Finding the Fourth Proportional to 330.40, 497.80 and 304.16

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Solution

The fourth proportional to 330.40, 497.80 and 304.16 is: 458.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.40 : 497.80 = 304.16 : x
  2. Step 2: Convert to fraction form
    330.40/497.80 = 304.16/x
  3. Step 3: Cross multiply
    330.40x = 497.80 × 304.16
  4. Step 4: Simplify right side
    330.40x = 151,410.85
  5. Step 5: Solve for x
    x = 151,410.85/330.40
  6. Step 6: Final answer
    x = 458.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.