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Finding the Fourth Proportional to 543.96, 750.66 and 311.10

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Solution

The fourth proportional to 543.96, 750.66 and 311.10 is: 429.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.96 : 750.66 = 311.10 : x
  2. Step 2: Convert to fraction form
    543.96/750.66 = 311.10/x
  3. Step 3: Cross multiply
    543.96x = 750.66 × 311.10
  4. Step 4: Simplify right side
    543.96x = 233,530.33
  5. Step 5: Solve for x
    x = 233,530.33/543.96
  6. Step 6: Final answer
    x = 429.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.