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Finding the Fourth Proportional to 353.72, 530.12 and 148.02

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Solution

The fourth proportional to 353.72, 530.12 and 148.02 is: 221.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.72 : 530.12 = 148.02 : x
  2. Step 2: Convert to fraction form
    353.72/530.12 = 148.02/x
  3. Step 3: Cross multiply
    353.72x = 530.12 × 148.02
  4. Step 4: Simplify right side
    353.72x = 78,466.74
  5. Step 5: Solve for x
    x = 78,466.74/353.72
  6. Step 6: Final answer
    x = 221.83

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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.