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Finding the Fourth Proportional to 314.82, 468.72 and 313.20

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Solution

The fourth proportional to 314.82, 468.72 and 313.20 is: 466.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.82 : 468.72 = 313.20 : x
  2. Step 2: Convert to fraction form
    314.82/468.72 = 313.20/x
  3. Step 3: Cross multiply
    314.82x = 468.72 × 313.20
  4. Step 4: Simplify right side
    314.82x = 146,803.10
  5. Step 5: Solve for x
    x = 146,803.10/314.82
  6. Step 6: Final answer
    x = 466.31

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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.