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Finding the Fourth Proportional to 315.56, 470.14 and 300.07

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Solution

The fourth proportional to 315.56, 470.14 and 300.07 is: 447.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.56 : 470.14 = 300.07 : x
  2. Step 2: Convert to fraction form
    315.56/470.14 = 300.07/x
  3. Step 3: Cross multiply
    315.56x = 470.14 × 300.07
  4. Step 4: Simplify right side
    315.56x = 141,071.06
  5. Step 5: Solve for x
    x = 141,071.06/315.56
  6. Step 6: Final answer
    x = 447.06

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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.