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Finding the Fourth Proportional to 543.40, 749.22 and 336.04

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Solution

The fourth proportional to 543.40, 749.22 and 336.04 is: 463.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.40 : 749.22 = 336.04 : x
  2. Step 2: Convert to fraction form
    543.40/749.22 = 336.04/x
  3. Step 3: Cross multiply
    543.40x = 749.22 × 336.04
  4. Step 4: Simplify right side
    543.40x = 251,767.89
  5. Step 5: Solve for x
    x = 251,767.89/543.40
  6. Step 6: Final answer
    x = 463.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.