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Finding the Fourth Proportional to 336.80, 501.66 and 321

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Solution

The fourth proportional to 336.80, 501.66 and 321 is: 478.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.80 : 501.66 = 321 : x
  2. Step 2: Convert to fraction form
    336.80/501.66 = 321/x
  3. Step 3: Cross multiply
    336.80x = 501.66 × 321
  4. Step 4: Simplify right side
    336.80x = 161,032.86
  5. Step 5: Solve for x
    x = 161,032.86/336.80
  6. Step 6: Final answer
    x = 478.13

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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.