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Finding the Fourth Proportional to 543.68, 816.40 and 296.72

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Solution

The fourth proportional to 543.68, 816.40 and 296.72 is: 445.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.68 : 816.40 = 296.72 : x
  2. Step 2: Convert to fraction form
    543.68/816.40 = 296.72/x
  3. Step 3: Cross multiply
    543.68x = 816.40 × 296.72
  4. Step 4: Simplify right side
    543.68x = 242,242.21
  5. Step 5: Solve for x
    x = 242,242.21/543.68
  6. Step 6: Final answer
    x = 445.56

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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.