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Finding the Fourth Proportional to 301, 415.46 and 289.16

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Solution

The fourth proportional to 301, 415.46 and 289.16 is: 399.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    301 : 415.46 = 289.16 : x
  2. Step 2: Convert to fraction form
    301/415.46 = 289.16/x
  3. Step 3: Cross multiply
    301x = 415.46 × 289.16
  4. Step 4: Simplify right side
    301x = 120,134.41
  5. Step 5: Solve for x
    x = 120,134.41/301
  6. Step 6: Final answer
    x = 399.12

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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.