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Finding the Fourth Proportional to 355.84, 530.84 and 343.23

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Solution

The fourth proportional to 355.84, 530.84 and 343.23 is: 512.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.84 : 530.84 = 343.23 : x
  2. Step 2: Convert to fraction form
    355.84/530.84 = 343.23/x
  3. Step 3: Cross multiply
    355.84x = 530.84 × 343.23
  4. Step 4: Simplify right side
    355.84x = 182,200.21
  5. Step 5: Solve for x
    x = 182,200.21/355.84
  6. Step 6: Final answer
    x = 512.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.