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Finding the Fourth Proportional to 365.42, 545.14 and 354.36

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Solution

The fourth proportional to 365.42, 545.14 and 354.36 is: 528.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.42 : 545.14 = 354.36 : x
  2. Step 2: Convert to fraction form
    365.42/545.14 = 354.36/x
  3. Step 3: Cross multiply
    365.42x = 545.14 × 354.36
  4. Step 4: Simplify right side
    365.42x = 193,175.81
  5. Step 5: Solve for x
    x = 193,175.81/365.42
  6. Step 6: Final answer
    x = 528.64

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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.