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Finding the Fourth Proportional to 348.05, 524.10 and 257.38

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Solution

The fourth proportional to 348.05, 524.10 and 257.38 is: 387.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.05 : 524.10 = 257.38 : x
  2. Step 2: Convert to fraction form
    348.05/524.10 = 257.38/x
  3. Step 3: Cross multiply
    348.05x = 524.10 × 257.38
  4. Step 4: Simplify right side
    348.05x = 134,888.95
  5. Step 5: Solve for x
    x = 134,888.95/348.05
  6. Step 6: Final answer
    x = 387.56

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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.