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Finding the Fourth Proportional to 315.90, 470.12 and 312.66

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Solution

The fourth proportional to 315.90, 470.12 and 312.66 is: 465.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.90 : 470.12 = 312.66 : x
  2. Step 2: Convert to fraction form
    315.90/470.12 = 312.66/x
  3. Step 3: Cross multiply
    315.90x = 470.12 × 312.66
  4. Step 4: Simplify right side
    315.90x = 146,986.16
  5. Step 5: Solve for x
    x = 146,986.16/315.90
  6. Step 6: Final answer
    x = 465.29

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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.