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Finding the Fourth Proportional to 525.74, 788.16 and 217.40

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Solution

The fourth proportional to 525.74, 788.16 and 217.40 is: 325.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.74 : 788.16 = 217.40 : x
  2. Step 2: Convert to fraction form
    525.74/788.16 = 217.40/x
  3. Step 3: Cross multiply
    525.74x = 788.16 × 217.40
  4. Step 4: Simplify right side
    525.74x = 171,340.96
  5. Step 5: Solve for x
    x = 171,340.96/525.74
  6. Step 6: Final answer
    x = 325.91

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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.