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Finding the Fourth Proportional to 348.79, 524.94 and 262.57

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Solution

The fourth proportional to 348.79, 524.94 and 262.57 is: 395.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.79 : 524.94 = 262.57 : x
  2. Step 2: Convert to fraction form
    348.79/524.94 = 262.57/x
  3. Step 3: Cross multiply
    348.79x = 524.94 × 262.57
  4. Step 4: Simplify right side
    348.79x = 137,833.50
  5. Step 5: Solve for x
    x = 137,833.50/348.79
  6. Step 6: Final answer
    x = 395.18

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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.