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Finding the Fourth Proportional to 257.23, 384.83 and 175.83

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Solution

The fourth proportional to 257.23, 384.83 and 175.83 is: 263.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.23 : 384.83 = 175.83 : x
  2. Step 2: Convert to fraction form
    257.23/384.83 = 175.83/x
  3. Step 3: Cross multiply
    257.23x = 384.83 × 175.83
  4. Step 4: Simplify right side
    257.23x = 67,664.66
  5. Step 5: Solve for x
    x = 67,664.66/257.23
  6. Step 6: Final answer
    x = 263.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.