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Finding the Fourth Proportional to 288.50, 432.80 and 151.52

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Solution

The fourth proportional to 288.50, 432.80 and 151.52 is: 227.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.50 : 432.80 = 151.52 : x
  2. Step 2: Convert to fraction form
    288.50/432.80 = 151.52/x
  3. Step 3: Cross multiply
    288.50x = 432.80 × 151.52
  4. Step 4: Simplify right side
    288.50x = 65,577.86
  5. Step 5: Solve for x
    x = 65,577.86/288.50
  6. Step 6: Final answer
    x = 227.31

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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.