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Finding the Fourth Proportional to 364.99, 545.23 and 328.37

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Solution

The fourth proportional to 364.99, 545.23 and 328.37 is: 490.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.99 : 545.23 = 328.37 : x
  2. Step 2: Convert to fraction form
    364.99/545.23 = 328.37/x
  3. Step 3: Cross multiply
    364.99x = 545.23 × 328.37
  4. Step 4: Simplify right side
    364.99x = 179,032.81
  5. Step 5: Solve for x
    x = 179,032.81/364.99
  6. Step 6: Final answer
    x = 490.52

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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.