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Finding the Fourth Proportional to 362.10, 542.92 and 118.50

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Solution

The fourth proportional to 362.10, 542.92 and 118.50 is: 177.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.10 : 542.92 = 118.50 : x
  2. Step 2: Convert to fraction form
    362.10/542.92 = 118.50/x
  3. Step 3: Cross multiply
    362.10x = 542.92 × 118.50
  4. Step 4: Simplify right side
    362.10x = 64,336.02
  5. Step 5: Solve for x
    x = 64,336.02/362.10
  6. Step 6: Final answer
    x = 177.67

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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.