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Finding the Fourth Proportional to 543.04, 814.48 and 153

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Solution

The fourth proportional to 543.04, 814.48 and 153 is: 229.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.04 : 814.48 = 153 : x
  2. Step 2: Convert to fraction form
    543.04/814.48 = 153/x
  3. Step 3: Cross multiply
    543.04x = 814.48 × 153
  4. Step 4: Simplify right side
    543.04x = 124,615.44
  5. Step 5: Solve for x
    x = 124,615.44/543.04
  6. Step 6: Final answer
    x = 229.48

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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.