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Finding the Fourth Proportional to 365.49, 543.53 and 353.95

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Solution

The fourth proportional to 365.49, 543.53 and 353.95 is: 526.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.49 : 543.53 = 353.95 : x
  2. Step 2: Convert to fraction form
    365.49/543.53 = 353.95/x
  3. Step 3: Cross multiply
    365.49x = 543.53 × 353.95
  4. Step 4: Simplify right side
    365.49x = 192,382.17
  5. Step 5: Solve for x
    x = 192,382.17/365.49
  6. Step 6: Final answer
    x = 526.37

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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.