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Finding the Fourth Proportional to 522.31, 783.21 and 157.00

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Solution

The fourth proportional to 522.31, 783.21 and 157.00 is: 235.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.31 : 783.21 = 157.00 : x
  2. Step 2: Convert to fraction form
    522.31/783.21 = 157.00/x
  3. Step 3: Cross multiply
    522.31x = 783.21 × 157.00
  4. Step 4: Simplify right side
    522.31x = 122,965.54
  5. Step 5: Solve for x
    x = 122,965.54/522.31
  6. Step 6: Final answer
    x = 235.43

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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.