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Finding the Fourth Proportional to 364.92, 501.84 and 355.20

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Solution

The fourth proportional to 364.92, 501.84 and 355.20 is: 488.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.92 : 501.84 = 355.20 : x
  2. Step 2: Convert to fraction form
    364.92/501.84 = 355.20/x
  3. Step 3: Cross multiply
    364.92x = 501.84 × 355.20
  4. Step 4: Simplify right side
    364.92x = 178,253.57
  5. Step 5: Solve for x
    x = 178,253.57/364.92
  6. Step 6: Final answer
    x = 488.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.