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Finding the Fourth Proportional to 526.91, 790.31 and 161.70

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Solution

The fourth proportional to 526.91, 790.31 and 161.70 is: 242.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.91 : 790.31 = 161.70 : x
  2. Step 2: Convert to fraction form
    526.91/790.31 = 161.70/x
  3. Step 3: Cross multiply
    526.91x = 790.31 × 161.70
  4. Step 4: Simplify right side
    526.91x = 127,793.13
  5. Step 5: Solve for x
    x = 127,793.13/526.91
  6. Step 6: Final answer
    x = 242.53

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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.