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Finding the Fourth Proportional to 333.48, 497.49 and 329.16

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Solution

The fourth proportional to 333.48, 497.49 and 329.16 is: 491.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.48 : 497.49 = 329.16 : x
  2. Step 2: Convert to fraction form
    333.48/497.49 = 329.16/x
  3. Step 3: Cross multiply
    333.48x = 497.49 × 329.16
  4. Step 4: Simplify right side
    333.48x = 163,753.81
  5. Step 5: Solve for x
    x = 163,753.81/333.48
  6. Step 6: Final answer
    x = 491.05

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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.