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Finding the Fourth Proportional to 356.35, 530.75 and 343.60

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Solution

The fourth proportional to 356.35, 530.75 and 343.60 is: 511.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.35 : 530.75 = 343.60 : x
  2. Step 2: Convert to fraction form
    356.35/530.75 = 343.60/x
  3. Step 3: Cross multiply
    356.35x = 530.75 × 343.60
  4. Step 4: Simplify right side
    356.35x = 182,365.70
  5. Step 5: Solve for x
    x = 182,365.70/356.35
  6. Step 6: Final answer
    x = 511.76

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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.