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Finding the Fourth Proportional to 525.54, 788.26 and 160.32

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Solution

The fourth proportional to 525.54, 788.26 and 160.32 is: 240.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.54 : 788.26 = 160.32 : x
  2. Step 2: Convert to fraction form
    525.54/788.26 = 160.32/x
  3. Step 3: Cross multiply
    525.54x = 788.26 × 160.32
  4. Step 4: Simplify right side
    525.54x = 126,373.84
  5. Step 5: Solve for x
    x = 126,373.84/525.54
  6. Step 6: Final answer
    x = 240.46

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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.