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Finding the Fourth Proportional to 320.63, 477.11 and 319.55

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Solution

The fourth proportional to 320.63, 477.11 and 319.55 is: 475.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.63 : 477.11 = 319.55 : x
  2. Step 2: Convert to fraction form
    320.63/477.11 = 319.55/x
  3. Step 3: Cross multiply
    320.63x = 477.11 × 319.55
  4. Step 4: Simplify right side
    320.63x = 152,460.50
  5. Step 5: Solve for x
    x = 152,460.50/320.63
  6. Step 6: Final answer
    x = 475.50

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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.