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Finding the Fourth Proportional to 356.70, 532.47 and 329.98

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Solution

The fourth proportional to 356.70, 532.47 and 329.98 is: 492.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.70 : 532.47 = 329.98 : x
  2. Step 2: Convert to fraction form
    356.70/532.47 = 329.98/x
  3. Step 3: Cross multiply
    356.70x = 532.47 × 329.98
  4. Step 4: Simplify right side
    356.70x = 175,704.45
  5. Step 5: Solve for x
    x = 175,704.45/356.70
  6. Step 6: Final answer
    x = 492.58

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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.