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Finding the Fourth Proportional to 314.69, 470.90 and 204.93

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Solution

The fourth proportional to 314.69, 470.90 and 204.93 is: 306.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.69 : 470.90 = 204.93 : x
  2. Step 2: Convert to fraction form
    314.69/470.90 = 204.93/x
  3. Step 3: Cross multiply
    314.69x = 470.90 × 204.93
  4. Step 4: Simplify right side
    314.69x = 96,502.05
  5. Step 5: Solve for x
    x = 96,502.05/314.69
  6. Step 6: Final answer
    x = 306.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.