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Finding the Fourth Proportional to 320.32, 477.11 and 313.57

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Solution

The fourth proportional to 320.32, 477.11 and 313.57 is: 467.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.32 : 477.11 = 313.57 : x
  2. Step 2: Convert to fraction form
    320.32/477.11 = 313.57/x
  3. Step 3: Cross multiply
    320.32x = 477.11 × 313.57
  4. Step 4: Simplify right side
    320.32x = 149,607.00
  5. Step 5: Solve for x
    x = 149,607.00/320.32
  6. Step 6: Final answer
    x = 467.05

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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.