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Finding the Fourth Proportional to 543.42, 749.32 and 346.86

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Solution

The fourth proportional to 543.42, 749.32 and 346.86 is: 478.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.42 : 749.32 = 346.86 : x
  2. Step 2: Convert to fraction form
    543.42/749.32 = 346.86/x
  3. Step 3: Cross multiply
    543.42x = 749.32 × 346.86
  4. Step 4: Simplify right side
    543.42x = 259,908.27
  5. Step 5: Solve for x
    x = 259,908.27/543.42
  6. Step 6: Final answer
    x = 478.28

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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.