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Finding the Fourth Proportional to 314.13, 434.04 and 303.04

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Solution

The fourth proportional to 314.13, 434.04 and 303.04 is: 418.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.13 : 434.04 = 303.04 : x
  2. Step 2: Convert to fraction form
    314.13/434.04 = 303.04/x
  3. Step 3: Cross multiply
    314.13x = 434.04 × 303.04
  4. Step 4: Simplify right side
    314.13x = 131,530.89
  5. Step 5: Solve for x
    x = 131,530.89/314.13
  6. Step 6: Final answer
    x = 418.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.