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Finding the Fourth Proportional to 313.36, 469.60 and 146.40

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Solution

The fourth proportional to 313.36, 469.60 and 146.40 is: 219.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.36 : 469.60 = 146.40 : x
  2. Step 2: Convert to fraction form
    313.36/469.60 = 146.40/x
  3. Step 3: Cross multiply
    313.36x = 469.60 × 146.40
  4. Step 4: Simplify right side
    313.36x = 68,749.44
  5. Step 5: Solve for x
    x = 68,749.44/313.36
  6. Step 6: Final answer
    x = 219.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.