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Finding the Fourth Proportional to 543.25, 749.60 and 307.16

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Solution

The fourth proportional to 543.25, 749.60 and 307.16 is: 423.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.25 : 749.60 = 307.16 : x
  2. Step 2: Convert to fraction form
    543.25/749.60 = 307.16/x
  3. Step 3: Cross multiply
    543.25x = 749.60 × 307.16
  4. Step 4: Simplify right side
    543.25x = 230,247.14
  5. Step 5: Solve for x
    x = 230,247.14/543.25
  6. Step 6: Final answer
    x = 423.83

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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.