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Finding the Fourth Proportional to 354.36, 531.28 and 148.72

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Solution

The fourth proportional to 354.36, 531.28 and 148.72 is: 222.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.36 : 531.28 = 148.72 : x
  2. Step 2: Convert to fraction form
    354.36/531.28 = 148.72/x
  3. Step 3: Cross multiply
    354.36x = 531.28 × 148.72
  4. Step 4: Simplify right side
    354.36x = 79,011.96
  5. Step 5: Solve for x
    x = 79,011.96/354.36
  6. Step 6: Final answer
    x = 222.97

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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.