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Finding the Fourth Proportional to 525.42, 787.86 and 160.11

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Solution

The fourth proportional to 525.42, 787.86 and 160.11 is: 240.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.42 : 787.86 = 160.11 : x
  2. Step 2: Convert to fraction form
    525.42/787.86 = 160.11/x
  3. Step 3: Cross multiply
    525.42x = 787.86 × 160.11
  4. Step 4: Simplify right side
    525.42x = 126,144.26
  5. Step 5: Solve for x
    x = 126,144.26/525.42
  6. Step 6: Final answer
    x = 240.08

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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.