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Finding the Fourth Proportional to 263.72, 395.04 and 147.80

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Solution

The fourth proportional to 263.72, 395.04 and 147.80 is: 221.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.72 : 395.04 = 147.80 : x
  2. Step 2: Convert to fraction form
    263.72/395.04 = 147.80/x
  3. Step 3: Cross multiply
    263.72x = 395.04 × 147.80
  4. Step 4: Simplify right side
    263.72x = 58,386.91
  5. Step 5: Solve for x
    x = 58,386.91/263.72
  6. Step 6: Final answer
    x = 221.40

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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.