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Finding the Fourth Proportional to 303.32, 451.97 and 288.63

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Solution

The fourth proportional to 303.32, 451.97 and 288.63 is: 430.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.32 : 451.97 = 288.63 : x
  2. Step 2: Convert to fraction form
    303.32/451.97 = 288.63/x
  3. Step 3: Cross multiply
    303.32x = 451.97 × 288.63
  4. Step 4: Simplify right side
    303.32x = 130,452.82
  5. Step 5: Solve for x
    x = 130,452.82/303.32
  6. Step 6: Final answer
    x = 430.08

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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.