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Finding the Fourth Proportional to 357.35, 532.24 and 344.60

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Solution

The fourth proportional to 357.35, 532.24 and 344.60 is: 513.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.35 : 532.24 = 344.60 : x
  2. Step 2: Convert to fraction form
    357.35/532.24 = 344.60/x
  3. Step 3: Cross multiply
    357.35x = 532.24 × 344.60
  4. Step 4: Simplify right side
    357.35x = 183,409.90
  5. Step 5: Solve for x
    x = 183,409.90/357.35
  6. Step 6: Final answer
    x = 513.25

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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.