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Finding the Fourth Proportional to 336.29, 463.77 and 289.01

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Solution

The fourth proportional to 336.29, 463.77 and 289.01 is: 398.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.29 : 463.77 = 289.01 : x
  2. Step 2: Convert to fraction form
    336.29/463.77 = 289.01/x
  3. Step 3: Cross multiply
    336.29x = 463.77 × 289.01
  4. Step 4: Simplify right side
    336.29x = 134,036.41
  5. Step 5: Solve for x
    x = 134,036.41/336.29
  6. Step 6: Final answer
    x = 398.57

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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.