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Finding the Fourth Proportional to 288.89, 433.62 and 151.91

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Solution

The fourth proportional to 288.89, 433.62 and 151.91 is: 228.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.89 : 433.62 = 151.91 : x
  2. Step 2: Convert to fraction form
    288.89/433.62 = 151.91/x
  3. Step 3: Cross multiply
    288.89x = 433.62 × 151.91
  4. Step 4: Simplify right side
    288.89x = 65,869.05
  5. Step 5: Solve for x
    x = 65,869.05/288.89
  6. Step 6: Final answer
    x = 228.01

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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.