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Finding the Fourth Proportional to 365.67, 543.81 and 354.14

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Solution

The fourth proportional to 365.67, 543.81 and 354.14 is: 526.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.67 : 543.81 = 354.14 : x
  2. Step 2: Convert to fraction form
    365.67/543.81 = 354.14/x
  3. Step 3: Cross multiply
    365.67x = 543.81 × 354.14
  4. Step 4: Simplify right side
    365.67x = 192,583.31
  5. Step 5: Solve for x
    x = 192,583.31/365.67
  6. Step 6: Final answer
    x = 526.65

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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.