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Finding the Fourth Proportional to 316.15, 430.44 and 315.18

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Solution

The fourth proportional to 316.15, 430.44 and 315.18 is: 429.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.15 : 430.44 = 315.18 : x
  2. Step 2: Convert to fraction form
    316.15/430.44 = 315.18/x
  3. Step 3: Cross multiply
    316.15x = 430.44 × 315.18
  4. Step 4: Simplify right side
    316.15x = 135,662.35
  5. Step 5: Solve for x
    x = 135,662.35/316.15
  6. Step 6: Final answer
    x = 429.11

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.