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Finding the Fourth Proportional to 525.56, 788.42 and 160.31

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Solution

The fourth proportional to 525.56, 788.42 and 160.31 is: 240.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.56 : 788.42 = 160.31 : x
  2. Step 2: Convert to fraction form
    525.56/788.42 = 160.31/x
  3. Step 3: Cross multiply
    525.56x = 788.42 × 160.31
  4. Step 4: Simplify right side
    525.56x = 126,393.08
  5. Step 5: Solve for x
    x = 126,393.08/525.56
  6. Step 6: Final answer
    x = 240.49

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1.5x scale

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.