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Finding the Fourth Proportional to 525.23, 787.40 and 216.89

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Solution

The fourth proportional to 525.23, 787.40 and 216.89 is: 325.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.23 : 787.40 = 216.89 : x
  2. Step 2: Convert to fraction form
    525.23/787.40 = 216.89/x
  3. Step 3: Cross multiply
    525.23x = 787.40 × 216.89
  4. Step 4: Simplify right side
    525.23x = 170,783.58
  5. Step 5: Solve for x
    x = 170,783.58/525.23
  6. Step 6: Final answer
    x = 325.16

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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.