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Finding the Fourth Proportional to 525.45, 788.27 and 178.77

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Solution

The fourth proportional to 525.45, 788.27 and 178.77 is: 268.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.45 : 788.27 = 178.77 : x
  2. Step 2: Convert to fraction form
    525.45/788.27 = 178.77/x
  3. Step 3: Cross multiply
    525.45x = 788.27 × 178.77
  4. Step 4: Simplify right side
    525.45x = 140,917.50
  5. Step 5: Solve for x
    x = 140,917.50/525.45
  6. Step 6: Final answer
    x = 268.19

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Double scale
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Similar ratio
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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.