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Finding the Fourth Proportional to 316.44, 471.51 and 302.49

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Solution

The fourth proportional to 316.44, 471.51 and 302.49 is: 450.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.44 : 471.51 = 302.49 : x
  2. Step 2: Convert to fraction form
    316.44/471.51 = 302.49/x
  3. Step 3: Cross multiply
    316.44x = 471.51 × 302.49
  4. Step 4: Simplify right side
    316.44x = 142,627.06
  5. Step 5: Solve for x
    x = 142,627.06/316.44
  6. Step 6: Final answer
    x = 450.72

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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.