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Finding the Fourth Proportional to 401.53, 601.51 and 319.42

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Solution

The fourth proportional to 401.53, 601.51 and 319.42 is: 478.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.53 : 601.51 = 319.42 : x
  2. Step 2: Convert to fraction form
    401.53/601.51 = 319.42/x
  3. Step 3: Cross multiply
    401.53x = 601.51 × 319.42
  4. Step 4: Simplify right side
    401.53x = 192,131.49
  5. Step 5: Solve for x
    x = 192,131.49/401.53
  6. Step 6: Final answer
    x = 478.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.