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Finding the Fourth Proportional to 270.59, 407.56 and 257.63

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Solution

The fourth proportional to 270.59, 407.56 and 257.63 is: 388.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.59 : 407.56 = 257.63 : x
  2. Step 2: Convert to fraction form
    270.59/407.56 = 257.63/x
  3. Step 3: Cross multiply
    270.59x = 407.56 × 257.63
  4. Step 4: Simplify right side
    270.59x = 105,000.06
  5. Step 5: Solve for x
    x = 105,000.06/270.59
  6. Step 6: Final answer
    x = 388.04

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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.