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Finding the Fourth Proportional to 349.40, 524.42 and 257.84

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Solution

The fourth proportional to 349.40, 524.42 and 257.84 is: 387.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.40 : 524.42 = 257.84 : x
  2. Step 2: Convert to fraction form
    349.40/524.42 = 257.84/x
  3. Step 3: Cross multiply
    349.40x = 524.42 × 257.84
  4. Step 4: Simplify right side
    349.40x = 135,216.45
  5. Step 5: Solve for x
    x = 135,216.45/349.40
  6. Step 6: Final answer
    x = 387.00

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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.