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Finding the Fourth Proportional to 288.45, 432.43 and 126.01

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Solution

The fourth proportional to 288.45, 432.43 and 126.01 is: 188.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.45 : 432.43 = 126.01 : x
  2. Step 2: Convert to fraction form
    288.45/432.43 = 126.01/x
  3. Step 3: Cross multiply
    288.45x = 432.43 × 126.01
  4. Step 4: Simplify right side
    288.45x = 54,487.71
  5. Step 5: Solve for x
    x = 54,487.71/288.45
  6. Step 6: Final answer
    x = 188.90

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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.