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Finding the Fourth Proportional to 348.90, 522.45 and 257.10

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Solution

The fourth proportional to 348.90, 522.45 and 257.10 is: 384.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.90 : 522.45 = 257.10 : x
  2. Step 2: Convert to fraction form
    348.90/522.45 = 257.10/x
  3. Step 3: Cross multiply
    348.90x = 522.45 × 257.10
  4. Step 4: Simplify right side
    348.90x = 134,321.90
  5. Step 5: Solve for x
    x = 134,321.90/348.90
  6. Step 6: Final answer
    x = 384.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.