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Finding the Fourth Proportional to 543.76, 751.25 and 357.18

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Solution

The fourth proportional to 543.76, 751.25 and 357.18 is: 493.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.76 : 751.25 = 357.18 : x
  2. Step 2: Convert to fraction form
    543.76/751.25 = 357.18/x
  3. Step 3: Cross multiply
    543.76x = 751.25 × 357.18
  4. Step 4: Simplify right side
    543.76x = 268,329.69
  5. Step 5: Solve for x
    x = 268,329.69/543.76
  6. Step 6: Final answer
    x = 493.47

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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.