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Finding the Fourth Proportional to 330.48, 493.29 and 287.45

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Solution

The fourth proportional to 330.48, 493.29 and 287.45 is: 429.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.48 : 493.29 = 287.45 : x
  2. Step 2: Convert to fraction form
    330.48/493.29 = 287.45/x
  3. Step 3: Cross multiply
    330.48x = 493.29 × 287.45
  4. Step 4: Simplify right side
    330.48x = 141,795.59
  5. Step 5: Solve for x
    x = 141,795.59/330.48
  6. Step 6: Final answer
    x = 429.06

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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.