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Finding the Fourth Proportional to 348.40, 524.64 and 251.57

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Solution

The fourth proportional to 348.40, 524.64 and 251.57 is: 378.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.40 : 524.64 = 251.57 : x
  2. Step 2: Convert to fraction form
    348.40/524.64 = 251.57/x
  3. Step 3: Cross multiply
    348.40x = 524.64 × 251.57
  4. Step 4: Simplify right side
    348.40x = 131,981.06
  5. Step 5: Solve for x
    x = 131,981.06/348.40
  6. Step 6: Final answer
    x = 378.83

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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.