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Finding the Fourth Proportional to 270.41, 372.98 and 258.35

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Solution

The fourth proportional to 270.41, 372.98 and 258.35 is: 356.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.41 : 372.98 = 258.35 : x
  2. Step 2: Convert to fraction form
    270.41/372.98 = 258.35/x
  3. Step 3: Cross multiply
    270.41x = 372.98 × 258.35
  4. Step 4: Simplify right side
    270.41x = 96,358.16
  5. Step 5: Solve for x
    x = 96,358.16/270.41
  6. Step 6: Final answer
    x = 356.35

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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.