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Finding the Fourth Proportional to 257.61, 384.11 and 247.35

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Solution

The fourth proportional to 257.61, 384.11 and 247.35 is: 368.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.61 : 384.11 = 247.35 : x
  2. Step 2: Convert to fraction form
    257.61/384.11 = 247.35/x
  3. Step 3: Cross multiply
    257.61x = 384.11 × 247.35
  4. Step 4: Simplify right side
    257.61x = 95,010.74
  5. Step 5: Solve for x
    x = 95,010.74/257.61
  6. Step 6: Final answer
    x = 368.81

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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.