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Finding the Fourth Proportional to 287.99, 432.26 and 151.14

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Solution

The fourth proportional to 287.99, 432.26 and 151.14 is: 226.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.99 : 432.26 = 151.14 : x
  2. Step 2: Convert to fraction form
    287.99/432.26 = 151.14/x
  3. Step 3: Cross multiply
    287.99x = 432.26 × 151.14
  4. Step 4: Simplify right side
    287.99x = 65,331.78
  5. Step 5: Solve for x
    x = 65,331.78/287.99
  6. Step 6: Final answer
    x = 226.85

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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.