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Finding the Fourth Proportional to 315.18, 470.25 and 305.46

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Solution

The fourth proportional to 315.18, 470.25 and 305.46 is: 455.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.18 : 470.25 = 305.46 : x
  2. Step 2: Convert to fraction form
    315.18/470.25 = 305.46/x
  3. Step 3: Cross multiply
    315.18x = 470.25 × 305.46
  4. Step 4: Simplify right side
    315.18x = 143,642.57
  5. Step 5: Solve for x
    x = 143,642.57/315.18
  6. Step 6: Final answer
    x = 455.75

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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.