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Finding the Fourth Proportional to 330.57, 498.13 and 274.07

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Solution

The fourth proportional to 330.57, 498.13 and 274.07 is: 412.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.57 : 498.13 = 274.07 : x
  2. Step 2: Convert to fraction form
    330.57/498.13 = 274.07/x
  3. Step 3: Cross multiply
    330.57x = 498.13 × 274.07
  4. Step 4: Simplify right side
    330.57x = 136,522.49
  5. Step 5: Solve for x
    x = 136,522.49/330.57
  6. Step 6: Final answer
    x = 412.99

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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.