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Finding the Fourth Proportional to 314.28, 467.72 and 302.76

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Solution

The fourth proportional to 314.28, 467.72 and 302.76 is: 450.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.28 : 467.72 = 302.76 : x
  2. Step 2: Convert to fraction form
    314.28/467.72 = 302.76/x
  3. Step 3: Cross multiply
    314.28x = 467.72 × 302.76
  4. Step 4: Simplify right side
    314.28x = 141,606.91
  5. Step 5: Solve for x
    x = 141,606.91/314.28
  6. Step 6: Final answer
    x = 450.58

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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.