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Finding the Fourth Proportional to 373.78, 515.40 and 257.14

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Solution

The fourth proportional to 373.78, 515.40 and 257.14 is: 354.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.78 : 515.40 = 257.14 : x
  2. Step 2: Convert to fraction form
    373.78/515.40 = 257.14/x
  3. Step 3: Cross multiply
    373.78x = 515.40 × 257.14
  4. Step 4: Simplify right side
    373.78x = 132,529.96
  5. Step 5: Solve for x
    x = 132,529.96/373.78
  6. Step 6: Final answer
    x = 354.57

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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.