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Finding the Fourth Proportional to 288.96, 432.21 and 230.74

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Solution

The fourth proportional to 288.96, 432.21 and 230.74 is: 345.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.96 : 432.21 = 230.74 : x
  2. Step 2: Convert to fraction form
    288.96/432.21 = 230.74/x
  3. Step 3: Cross multiply
    288.96x = 432.21 × 230.74
  4. Step 4: Simplify right side
    288.96x = 99,728.14
  5. Step 5: Solve for x
    x = 99,728.14/288.96
  6. Step 6: Final answer
    x = 345.13

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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.