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Finding the Fourth Proportional to 314.70, 468.77 and 313.22

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Solution

The fourth proportional to 314.70, 468.77 and 313.22 is: 466.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.70 : 468.77 = 313.22 : x
  2. Step 2: Convert to fraction form
    314.70/468.77 = 313.22/x
  3. Step 3: Cross multiply
    314.70x = 468.77 × 313.22
  4. Step 4: Simplify right side
    314.70x = 146,824.23
  5. Step 5: Solve for x
    x = 146,824.23/314.70
  6. Step 6: Final answer
    x = 466.55

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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.