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Finding the Fourth Proportional to 303.64, 452.26 and 276.10

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Solution

The fourth proportional to 303.64, 452.26 and 276.10 is: 411.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.64 : 452.26 = 276.10 : x
  2. Step 2: Convert to fraction form
    303.64/452.26 = 276.10/x
  3. Step 3: Cross multiply
    303.64x = 452.26 × 276.10
  4. Step 4: Simplify right side
    303.64x = 124,868.99
  5. Step 5: Solve for x
    x = 124,868.99/303.64
  6. Step 6: Final answer
    x = 411.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.