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Finding the Fourth Proportional to 336.61, 464.75 and 301.53

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Solution

The fourth proportional to 336.61, 464.75 and 301.53 is: 416.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.61 : 464.75 = 301.53 : x
  2. Step 2: Convert to fraction form
    336.61/464.75 = 301.53/x
  3. Step 3: Cross multiply
    336.61x = 464.75 × 301.53
  4. Step 4: Simplify right side
    336.61x = 140,136.07
  5. Step 5: Solve for x
    x = 140,136.07/336.61
  6. Step 6: Final answer
    x = 416.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.