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Finding the Fourth Proportional to 259.42, 389.16 and 151.15

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Solution

The fourth proportional to 259.42, 389.16 and 151.15 is: 226.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.42 : 389.16 = 151.15 : x
  2. Step 2: Convert to fraction form
    259.42/389.16 = 151.15/x
  3. Step 3: Cross multiply
    259.42x = 389.16 × 151.15
  4. Step 4: Simplify right side
    259.42x = 58,821.53
  5. Step 5: Solve for x
    x = 58,821.53/259.42
  6. Step 6: Final answer
    x = 226.74

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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.