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Finding the Fourth Proportional to 525.22, 787.80 and 135.22

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Solution

The fourth proportional to 525.22, 787.80 and 135.22 is: 202.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.22 : 787.80 = 135.22 : x
  2. Step 2: Convert to fraction form
    525.22/787.80 = 135.22/x
  3. Step 3: Cross multiply
    525.22x = 787.80 × 135.22
  4. Step 4: Simplify right side
    525.22x = 106,522.38
  5. Step 5: Solve for x
    x = 106,522.38/525.22
  6. Step 6: Final answer
    x = 202.82

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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.