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Finding the Fourth Proportional to 315.09, 470.26 and 306.90

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Solution

The fourth proportional to 315.09, 470.26 and 306.90 is: 458.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.09 : 470.26 = 306.90 : x
  2. Step 2: Convert to fraction form
    315.09/470.26 = 306.90/x
  3. Step 3: Cross multiply
    315.09x = 470.26 × 306.90
  4. Step 4: Simplify right side
    315.09x = 144,322.03
  5. Step 5: Solve for x
    x = 144,322.03/315.09
  6. Step 6: Final answer
    x = 458.03

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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.