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Finding the Fourth Proportional to 364.64, 545.12 and 357.44

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Solution

The fourth proportional to 364.64, 545.12 and 357.44 is: 534.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.64 : 545.12 = 357.44 : x
  2. Step 2: Convert to fraction form
    364.64/545.12 = 357.44/x
  3. Step 3: Cross multiply
    364.64x = 545.12 × 357.44
  4. Step 4: Simplify right side
    364.64x = 194,847.69
  5. Step 5: Solve for x
    x = 194,847.69/364.64
  6. Step 6: Final answer
    x = 534.36

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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.