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Finding the Fourth Proportional to 526.64, 789.95 and 161.38

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Solution

The fourth proportional to 526.64, 789.95 and 161.38 is: 242.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.64 : 789.95 = 161.38 : x
  2. Step 2: Convert to fraction form
    526.64/789.95 = 161.38/x
  3. Step 3: Cross multiply
    526.64x = 789.95 × 161.38
  4. Step 4: Simplify right side
    526.64x = 127,480.56
  5. Step 5: Solve for x
    x = 127,480.56/526.64
  6. Step 6: Final answer
    x = 242.07

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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.