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Finding the Fourth Proportional to 526.98, 790.42 and 161.76

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Solution

The fourth proportional to 526.98, 790.42 and 161.76 is: 242.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.98 : 790.42 = 161.76 : x
  2. Step 2: Convert to fraction form
    526.98/790.42 = 161.76/x
  3. Step 3: Cross multiply
    526.98x = 790.42 × 161.76
  4. Step 4: Simplify right side
    526.98x = 127,858.34
  5. Step 5: Solve for x
    x = 127,858.34/526.98
  6. Step 6: Final answer
    x = 242.62

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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.