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Finding the Fourth Proportional to 347.64, 524.13 and 324.14

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Solution

The fourth proportional to 347.64, 524.13 and 324.14 is: 488.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.64 : 524.13 = 324.14 : x
  2. Step 2: Convert to fraction form
    347.64/524.13 = 324.14/x
  3. Step 3: Cross multiply
    347.64x = 524.13 × 324.14
  4. Step 4: Simplify right side
    347.64x = 169,891.50
  5. Step 5: Solve for x
    x = 169,891.50/347.64
  6. Step 6: Final answer
    x = 488.70

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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.