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Finding the Fourth Proportional to 357.15, 492.55 and 304.88

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Solution

The fourth proportional to 357.15, 492.55 and 304.88 is: 420.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.15 : 492.55 = 304.88 : x
  2. Step 2: Convert to fraction form
    357.15/492.55 = 304.88/x
  3. Step 3: Cross multiply
    357.15x = 492.55 × 304.88
  4. Step 4: Simplify right side
    357.15x = 150,169.11
  5. Step 5: Solve for x
    x = 150,169.11/357.15
  6. Step 6: Final answer
    x = 420.47

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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.