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Finding the Fourth Proportional to 364.68, 543.21 and 357.39

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Solution

The fourth proportional to 364.68, 543.21 and 357.39 is: 532.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.68 : 543.21 = 357.39 : x
  2. Step 2: Convert to fraction form
    364.68/543.21 = 357.39/x
  3. Step 3: Cross multiply
    364.68x = 543.21 × 357.39
  4. Step 4: Simplify right side
    364.68x = 194,137.82
  5. Step 5: Solve for x
    x = 194,137.82/364.68
  6. Step 6: Final answer
    x = 532.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.