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Finding the Fourth Proportional to 257.82, 384.06 and 242.13

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Solution

The fourth proportional to 257.82, 384.06 and 242.13 is: 360.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.82 : 384.06 = 242.13 : x
  2. Step 2: Convert to fraction form
    257.82/384.06 = 242.13/x
  3. Step 3: Cross multiply
    257.82x = 384.06 × 242.13
  4. Step 4: Simplify right side
    257.82x = 92,992.45
  5. Step 5: Solve for x
    x = 92,992.45/257.82
  6. Step 6: Final answer
    x = 360.69

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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.