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Finding the Fourth Proportional to 348.64, 525.00 and 257.98

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Solution

The fourth proportional to 348.64, 525.00 and 257.98 is: 388.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.64 : 525.00 = 257.98 : x
  2. Step 2: Convert to fraction form
    348.64/525.00 = 257.98/x
  3. Step 3: Cross multiply
    348.64x = 525.00 × 257.98
  4. Step 4: Simplify right side
    348.64x = 135,435.59
  5. Step 5: Solve for x
    x = 135,435.59/348.64
  6. Step 6: Final answer
    x = 388.47

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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.