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Finding the Fourth Proportional to 303.12, 417.60 and 209.52

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Solution

The fourth proportional to 303.12, 417.60 and 209.52 is: 288.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.12 : 417.60 = 209.52 : x
  2. Step 2: Convert to fraction form
    303.12/417.60 = 209.52/x
  3. Step 3: Cross multiply
    303.12x = 417.60 × 209.52
  4. Step 4: Simplify right side
    303.12x = 87,495.55
  5. Step 5: Solve for x
    x = 87,495.55/303.12
  6. Step 6: Final answer
    x = 288.65

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