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Finding the Fourth Proportional to 388.71, 535.95 and 257.49

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Solution

The fourth proportional to 388.71, 535.95 and 257.49 is: 355.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.71 : 535.95 = 257.49 : x
  2. Step 2: Convert to fraction form
    388.71/535.95 = 257.49/x
  3. Step 3: Cross multiply
    388.71x = 535.95 × 257.49
  4. Step 4: Simplify right side
    388.71x = 138,001.77
  5. Step 5: Solve for x
    x = 138,001.77/388.71
  6. Step 6: Final answer
    x = 355.02

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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.