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Finding the Fourth Proportional to 368.43, 510.98 and 337.68

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Solution

The fourth proportional to 368.43, 510.98 and 337.68 is: 468.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.43 : 510.98 = 337.68 : x
  2. Step 2: Convert to fraction form
    368.43/510.98 = 337.68/x
  3. Step 3: Cross multiply
    368.43x = 510.98 × 337.68
  4. Step 4: Simplify right side
    368.43x = 172,546.04
  5. Step 5: Solve for x
    x = 172,546.04/368.43
  6. Step 6: Final answer
    x = 468.33

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.