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Finding the Fourth Proportional to 314.54, 469.95 and 303.78

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Solution

The fourth proportional to 314.54, 469.95 and 303.78 is: 453.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.54 : 469.95 = 303.78 : x
  2. Step 2: Convert to fraction form
    314.54/469.95 = 303.78/x
  3. Step 3: Cross multiply
    314.54x = 469.95 × 303.78
  4. Step 4: Simplify right side
    314.54x = 142,759.06
  5. Step 5: Solve for x
    x = 142,759.06/314.54
  6. Step 6: Final answer
    x = 453.87

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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.