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Finding the Fourth Proportional to 555.58, 833.21 and 165.56

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Solution

The fourth proportional to 555.58, 833.21 and 165.56 is: 248.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.58 : 833.21 = 165.56 : x
  2. Step 2: Convert to fraction form
    555.58/833.21 = 165.56/x
  3. Step 3: Cross multiply
    555.58x = 833.21 × 165.56
  4. Step 4: Simplify right side
    555.58x = 137,946.25
  5. Step 5: Solve for x
    x = 137,946.25/555.58
  6. Step 6: Final answer
    x = 248.29

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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.