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Finding the Fourth Proportional to 288, 432.07 and 93.06

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Solution

The fourth proportional to 288, 432.07 and 93.06 is: 139.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    288 : 432.07 = 93.06 : x
  2. Step 2: Convert to fraction form
    288/432.07 = 93.06/x
  3. Step 3: Cross multiply
    288x = 432.07 × 93.06
  4. Step 4: Simplify right side
    288x = 40,208.20
  5. Step 5: Solve for x
    x = 40,208.20/288
  6. Step 6: Final answer
    x = 139.61

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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.