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Finding the Fourth Proportional to 401.55, 599.79 and 320.16

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Solution

The fourth proportional to 401.55, 599.79 and 320.16 is: 478.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.55 : 599.79 = 320.16 : x
  2. Step 2: Convert to fraction form
    401.55/599.79 = 320.16/x
  3. Step 3: Cross multiply
    401.55x = 599.79 × 320.16
  4. Step 4: Simplify right side
    401.55x = 192,028.77
  5. Step 5: Solve for x
    x = 192,028.77/401.55
  6. Step 6: Final answer
    x = 478.22

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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.