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Finding the Fourth Proportional to 258.72, 385.14 and 257.35

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Solution

The fourth proportional to 258.72, 385.14 and 257.35 is: 383.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.72 : 385.14 = 257.35 : x
  2. Step 2: Convert to fraction form
    258.72/385.14 = 257.35/x
  3. Step 3: Cross multiply
    258.72x = 385.14 × 257.35
  4. Step 4: Simplify right side
    258.72x = 99,116.74
  5. Step 5: Solve for x
    x = 99,116.74/258.72
  6. Step 6: Final answer
    x = 383.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.