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Finding the Fourth Proportional to 315.28, 469.22 and 303.76

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Solution

The fourth proportional to 315.28, 469.22 and 303.76 is: 452.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.28 : 469.22 = 303.76 : x
  2. Step 2: Convert to fraction form
    315.28/469.22 = 303.76/x
  3. Step 3: Cross multiply
    315.28x = 469.22 × 303.76
  4. Step 4: Simplify right side
    315.28x = 142,530.27
  5. Step 5: Solve for x
    x = 142,530.27/315.28
  6. Step 6: Final answer
    x = 452.08

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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.