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Finding the Fourth Proportional to 330.52, 493.37 and 309.16

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Solution

The fourth proportional to 330.52, 493.37 and 309.16 is: 461.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.52 : 493.37 = 309.16 : x
  2. Step 2: Convert to fraction form
    330.52/493.37 = 309.16/x
  3. Step 3: Cross multiply
    330.52x = 493.37 × 309.16
  4. Step 4: Simplify right side
    330.52x = 152,530.27
  5. Step 5: Solve for x
    x = 152,530.27/330.52
  6. Step 6: Final answer
    x = 461.49

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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.