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Finding the Fourth Proportional to 347.76, 524.24 and 324.28

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Solution

The fourth proportional to 347.76, 524.24 and 324.28 is: 488.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.76 : 524.24 = 324.28 : x
  2. Step 2: Convert to fraction form
    347.76/524.24 = 324.28/x
  3. Step 3: Cross multiply
    347.76x = 524.24 × 324.28
  4. Step 4: Simplify right side
    347.76x = 170,000.55
  5. Step 5: Solve for x
    x = 170,000.55/347.76
  6. Step 6: Final answer
    x = 488.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.