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Finding the Fourth Proportional to 315.11, 470.65 and 245.89

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Solution

The fourth proportional to 315.11, 470.65 and 245.89 is: 367.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.11 : 470.65 = 245.89 : x
  2. Step 2: Convert to fraction form
    315.11/470.65 = 245.89/x
  3. Step 3: Cross multiply
    315.11x = 470.65 × 245.89
  4. Step 4: Simplify right side
    315.11x = 115,728.13
  5. Step 5: Solve for x
    x = 115,728.13/315.11
  6. Step 6: Final answer
    x = 367.26

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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.