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Finding the Fourth Proportional to 348.02, 524.04 and 257.34

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Solution

The fourth proportional to 348.02, 524.04 and 257.34 is: 387.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.02 : 524.04 = 257.34 : x
  2. Step 2: Convert to fraction form
    348.02/524.04 = 257.34/x
  3. Step 3: Cross multiply
    348.02x = 524.04 × 257.34
  4. Step 4: Simplify right side
    348.02x = 134,856.45
  5. Step 5: Solve for x
    x = 134,856.45/348.02
  6. Step 6: Final answer
    x = 387.50

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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.