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Finding the Fourth Proportional to 303.62, 417.03 and 297.86

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Solution

The fourth proportional to 303.62, 417.03 and 297.86 is: 409.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.62 : 417.03 = 297.86 : x
  2. Step 2: Convert to fraction form
    303.62/417.03 = 297.86/x
  3. Step 3: Cross multiply
    303.62x = 417.03 × 297.86
  4. Step 4: Simplify right side
    303.62x = 124,215.07
  5. Step 5: Solve for x
    x = 124,215.07/303.62
  6. Step 6: Final answer
    x = 409.11

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.