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Finding the Fourth Proportional to 313.60, 473.04 and 309.12

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Solution

The fourth proportional to 313.60, 473.04 and 309.12 is: 466.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.60 : 473.04 = 309.12 : x
  2. Step 2: Convert to fraction form
    313.60/473.04 = 309.12/x
  3. Step 3: Cross multiply
    313.60x = 473.04 × 309.12
  4. Step 4: Simplify right side
    313.60x = 146,226.12
  5. Step 5: Solve for x
    x = 146,226.12/313.60
  6. Step 6: Final answer
    x = 466.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.