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Finding the Fourth Proportional to 320.09, 477.97 and 318.17

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Solution

The fourth proportional to 320.09, 477.97 and 318.17 is: 475.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.09 : 477.97 = 318.17 : x
  2. Step 2: Convert to fraction form
    320.09/477.97 = 318.17/x
  3. Step 3: Cross multiply
    320.09x = 477.97 × 318.17
  4. Step 4: Simplify right side
    320.09x = 152,075.32
  5. Step 5: Solve for x
    x = 152,075.32/320.09
  6. Step 6: Final answer
    x = 475.11

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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.