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Finding the Fourth Proportional to 566.42, 848.90 and 257.96

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Solution

The fourth proportional to 566.42, 848.90 and 257.96 is: 386.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.42 : 848.90 = 257.96 : x
  2. Step 2: Convert to fraction form
    566.42/848.90 = 257.96/x
  3. Step 3: Cross multiply
    566.42x = 848.90 × 257.96
  4. Step 4: Simplify right side
    566.42x = 218,982.24
  5. Step 5: Solve for x
    x = 218,982.24/566.42
  6. Step 6: Final answer
    x = 386.61

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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.