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Finding the Fourth Proportional to 349.93, 482.13 and 256.57

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Solution

The fourth proportional to 349.93, 482.13 and 256.57 is: 353.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.93 : 482.13 = 256.57 : x
  2. Step 2: Convert to fraction form
    349.93/482.13 = 256.57/x
  3. Step 3: Cross multiply
    349.93x = 482.13 × 256.57
  4. Step 4: Simplify right side
    349.93x = 123,700.09
  5. Step 5: Solve for x
    x = 123,700.09/349.93
  6. Step 6: Final answer
    x = 353.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.