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Finding the Fourth Proportional to 315.60, 470.22 and 311.16

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Solution

The fourth proportional to 315.60, 470.22 and 311.16 is: 463.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.60 : 470.22 = 311.16 : x
  2. Step 2: Convert to fraction form
    315.60/470.22 = 311.16/x
  3. Step 3: Cross multiply
    315.60x = 470.22 × 311.16
  4. Step 4: Simplify right side
    315.60x = 146,313.66
  5. Step 5: Solve for x
    x = 146,313.66/315.60
  6. Step 6: Final answer
    x = 463.60

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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.