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Finding the Fourth Proportional to 354.00, 531.06 and 148.67

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Solution

The fourth proportional to 354.00, 531.06 and 148.67 is: 223.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.00 : 531.06 = 148.67 : x
  2. Step 2: Convert to fraction form
    354.00/531.06 = 148.67/x
  3. Step 3: Cross multiply
    354.00x = 531.06 × 148.67
  4. Step 4: Simplify right side
    354.00x = 78,951.47
  5. Step 5: Solve for x
    x = 78,951.47/354.00
  6. Step 6: Final answer
    x = 223.02

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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.