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Finding the Fourth Proportional to 314.95, 475.09 and 298.35

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Solution

The fourth proportional to 314.95, 475.09 and 298.35 is: 450.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.95 : 475.09 = 298.35 : x
  2. Step 2: Convert to fraction form
    314.95/475.09 = 298.35/x
  3. Step 3: Cross multiply
    314.95x = 475.09 × 298.35
  4. Step 4: Simplify right side
    314.95x = 141,741.61
  5. Step 5: Solve for x
    x = 141,741.61/314.95
  6. Step 6: Final answer
    x = 450.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.