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Finding the Fourth Proportional to 303.32, 418.48 and 210.12

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Solution

The fourth proportional to 303.32, 418.48 and 210.12 is: 289.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.32 : 418.48 = 210.12 : x
  2. Step 2: Convert to fraction form
    303.32/418.48 = 210.12/x
  3. Step 3: Cross multiply
    303.32x = 418.48 × 210.12
  4. Step 4: Simplify right side
    303.32x = 87,931.02
  5. Step 5: Solve for x
    x = 87,931.02/303.32
  6. Step 6: Final answer
    x = 289.90

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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.